A Physical Measure for Characterizing Crossover from Integrable to Chaotic Quantum Systems.

In this paper, a quantity that describes a response of a system's eigenstates to a very small perturbation of physical relevance is studied as a measure for characterizing crossover from integrable to chaotic quantum systems. It is computed from the distribution of very small, rescaled components of perturbed eigenfunctions on the unperturbed basis. Physically, it gives a relative measure to prohibition of level transitions induced by the perturbation. Making use of this measure, numerical simulations in the so-called Lipkin-Meshkov-Glick model show in a clear way that the whole integrability-chaos transition region is divided into three subregions: a nearly integrable regime, a nearly chaotic regime, and a crossover regime.

Quantum chaos and the correspondence principle.

The correspondence principle is a cornerstone in the entire construction of quantum mechanics. This principle has been recently challenged by the observation of an early-time exponential increase of the out-of-time-ordered correlator (OTOC) in classically nonchaotic systems [E. B. Rozenbaum et al., Phys. Rev. Lett. 125, 014101 (2020)PRLTAO0031-900710.1103/PhysRevLett.125.014101]. Here, we show that the correspondence principle is restored after a proper treatment of the singular points. Furthermore, our results show that the OTOC maintains its role as a diagnostic of chaotic dynamics.

Identifying risk factors for chronic kidney disease stage 3 in adults with acquired solitary kidney from unilateral nephrectomy: a retrospective cohort study.

BACKGROUND: We aimed to examine the risk factors for chronic kidney disease (CKD) stage 3 among adults with ASK from unilateral nephrectomy. METHODS: We retrospectively collected data from adult patients with ASK between January, 2009 and January, 2019, identified from a tertiary hospital in China. The clinical data were compared between patients who developed CKD stage 3 and those who did not develop CKD stage 3 during follow-up. RESULTS: In total, 172 patients with ASK (110 men; median 58.0 years) were enrolled, with a median follow-up duration of 5.0 years. During follow-up, 91 (52.9%) and 24 (14.0%) patients developed CKD stage 3 and end-stage renal disease, respectively. Multiple regression analyses showed that age (odds ratio [OR] 1.076, 95% confidence interval [CI] 1.039-1.115, p < 0.001), diabetes (OR 4.401, 95% CI 1.693-11.44, p = 0.002), hyperuricemia (OR 2.733, 95% CI 1.104-6.764, p = 0.03), a history of cardiovascular disease (CVD) (OR 5.583, 95% CI 1.884-18.068, p = 0.002), and ASK due to renal tuberculosis (OR 8.816, 95% CI 2.92-26.62, p < 0.001) were independent risk factors for developing CKD stage 3 among patients with ASK. CONCLUSIONS: Regular follow-up of renal function is needed among adult patients with ASK. Optimal management of diabetes, hyperuricemia, and CVD may reduce their risk of CKD stage 3, especially among those that undergo unilateral nephrectomy for renal tuberculosis.

Closeness of the reduced density matrix of an interacting small system to the Gibbs state.

I study the statistical description of a small quantum system, which is coupled to a large quantum environment in a generic form and with a generic interaction strength, when the total system lies in an equilibrium state described by a microcanonical ensemble. The focus is on the difference between the reduced density matrix (RDM) of the central system in this interacting case and the RDM obtained in the uncoupled case. In the eigenbasis of the central system's Hamiltonian, it is shown that the difference between diagonal elements is mainly confined by the ratio of the maximum width of the eigenfunctions of the total system in the uncoupled basis to the width of the microcanonical energy shell; meanwhile, the difference between off-diagonal elements is given by the ratio of certain property of the interaction Hamiltonian to the related level spacing of the central system. As an application, a sufficient condition is given, under which the RDM may have a canonical Gibbs form under system-environment interactions that are not necessarily weak; this Gibbs state usually includes certain averaged effect of the interaction. For central systems that interact locally with many-body quantum chaotic systems, it is shown that the RDM usually has a Gibbs form. I also study the RDM which is computed from a typical state of the total system within an energy shell.

SF36 Is a Reliable Patient-Oriented Outcome Evaluation Tool in Surgically Treated Degenerative Cervical Myelopathy Cases: A Systematic Review and Meta-Analysis.

BACKGROUND Degenerative spinal disorders have adverse impacts on patients' quality of life. Because the main objectives of any surgical intervention are to improve health-related quality of life and to reduce disability, instruments capable of measuring patient-oriented outcomes are now increasingly used. The aim of this study was to evaluate the use of the Short Form 36 Health Survey Questionnaire (SF36) for assessing patient-oriented outcomes of degenerative cervical myelopathy surgery. MATERIAL AND METHODS A literature search was conducted in electronic databases (Google Scholar, Ovid SP, PubMed, Science Direct, and Springer). Studies were included if they reported SF36 scores by following patients for at least 12 months. Random effects meta-analyses were performed to estimate changes in SF36 physical/mental component summary (SF36-PCS/MCS), SF36 dimensional, Japanese Orthopedics Association (JOA)/modified JOA (mJOA), and Neck Disability Index (NDI) scores by latest follow-up. RESULTS Fourteen studies (1966 patients; age 58.2 years [95% confidence interval (CI), 56.6 to 59.9]; 60% males [95% CI, 55 to 64]; follow-up 24.8 months [95% CI, 20.9 to 28.7]) were included in meta-analysis. SF36-PCS (6.60 [95% CI, 4.91 to 8.28]; p<0.00001), SF36-MCS (6.33 [95% CI, 4.31 to 8.35]; p<0.00001) and SF36 dimensional (p<0.05) scores improved significantly at latest follow-up. Surgery significantly improved JOA/mJOA (3.43 [95% CI, 2.80 to 4.06]; p<0.00001) and NDI (-13.70 [95% CI, -17.35 to -10.06]; p<0.00001) scores also. Change in SF36-PCS score were correlated (r=-0.554) with change in NDI score, whereas change in SF36-MCS score was correlated with change in JOA score (r=0.550). CONCLUSIONS Surgery for degenerative cervical myelopathy is associated with significantly improved SF36-measured patient-oriented outcomes.

Characterization of random features of chaotic eigenfunctions in unperturbed basis.

In this paper we study random features manifested in components of energy eigenfunctions of quantum chaotic systems, given in the basis of unperturbed, integrable systems. Based on semiclassical analysis, particularly on Berry's conjecture, it is shown that the components in classically allowed regions can be regarded as Gaussian random numbers in a certain sense, when appropriately rescaled with respect to the average shape of the eigenfunctions. This suggests that when a perturbed system changes from integrable to chaotic, deviation of the distribution of rescaled components in classically allowed regions from the Gaussian distribution may be employed as a measure for the "distance" to quantum chaos. Numerical simulations performed in the Lipkin-Meshkov-Glick model and the Dicke model show that this deviation coincides with the deviation of the nearest-level-spacing distribution from the prediction of random-matrix theory. Similar numerical results are also obtained in two models without classical counterpart.

Decoherence approach to energy transfer and work done by slowly driven systems.

A main problem, which is met when computing the energy transfer of or work done by a quantum system, comes from the fact that the system may lie in states with coherence in its energy eigenstates. As is well known, when the so-called environment-induced decoherence has happened with respect to a preferred basis given by the energy basis, no coherence exists among the energy basis and the energy change of the system can be computed in a definite way. I argue that one may make use of this property, in the search for an appropriate definition of quantum work for a total system that does not include any measuring apparatus. To show how this idea may work, in this paper, I study decoherence properties of a generic slowly driven system, which is weakly coupled to a huge environment whose main body is a complex quantum system. It is shown that decoherence may generically happen for such a system.

Fourier heat conduction as a strong kinetic effect in one-dimensional hard-core gases.

For a one-dimensional (1D) momentum conserving system, intensive studies have shown that generally its heat current autocorrelation function (HCAF) tends to decay in a power-law manner and results in the breakdown of the Fourier heat conduction law in the thermodynamic limit. This has been recognized to be a dominant hydrodynamic effect. Here we show that, instead, the kinetic effect can be dominant in some cases and leads to the Fourier law for finite-size systems. Usually the HCAF undergoes a fast decaying kinetic stage followed by a long slowly decaying hydrodynamic tail. In a finite range of the system size, we find that whether the system follows the Fourier law depends on whether the kinetic stage dominates. Our Rapid Communication is illustrated by the 1D hard-core gas models with which the HCAF is derived analytically and verified numerically by molecular dynamics simulations.

Internal temperature of quantum chaotic systems at the nanoscale.

The extent to which a temperature can be appropriately assigned to a small quantum system, as an internal property but not as a property of any large environment, is still an open problem. In this paper, a method is proposed for solving this problem, by which a studied small system is coupled to a two-level system as a probe, the latter of which can be measured by measurement devices. A main difficulty in the determination of possible temperature of the studied system comes from the back-action of the probe-system coupling to the system. For small quantum chaotic systems, we show that a temperature can be determined, the value of which is sensitive to neither the form, location, and strength of the probe-system coupling, nor the Hamiltonian and initial state of the probe. The temperature thus obtained turns out to have the form of Boltzmann temperature.

Correlations in eigenfunctions of quantum chaotic systems with sparse Hamiltonian matrices.

In most realistic models for quantum chaotic systems, the Hamiltonian matrices in unperturbed bases have a sparse structure. We study correlations in eigenfunctions of such systems and derive explicit expressions for some of the correlation functions with respect to energy. The analytical results are tested in several models by numerical simulations. Some applications are discussed for a relation between transition probabilities and for expectation values of some local observables.

Relative criterion for validity of a semiclassical approach to the dynamics near quantum critical points.

Based on an analysis of Feynman's path integral formulation of the propagator, a relative criterion is proposed for validity of a semiclassical approach to the dynamics near critical points in a class of systems undergoing quantum phase transitions. It is given by an effective Planck constant, in the relative sense that a smaller effective Planck constant implies better performance of the semiclassical approach. Numerical tests of this relative criterion are given in the XY model and in the Dicke model.

[Correlation Study on Pathological Characteristics of Target Organs and Excess Evil Syndrome in IgA Nephropathy].

OBJECTIVE: To explore the correlation between pathological characteristics of target organs and excess evil syndrome in IgA nephropathy. METHODS: Data were collected in multicenter cooperation. Totally 266 IgA nephropathy patients were typed into exogenous wind-heat affection syndrome (49 cases), lower energizer damp-heat syndrome (100 cases), damp-phlegm syndrome (43 cases), and blood stasis syndrome (74 cases). Meanwhile, percutaneous renal biopsy was performed in all patients for Hass classification, Oxford classification, Katafuchi integral, and Jiang's classification methods. The correlation between excess evil syndrome and pathological index was analyzed. RESULTS: Four syndrome types were correlated with their Hass levels (r = 0. 341, P <0. 01). Affection of exogenous wind-heat syndrome was correlated with segmental proliferation of endothelial cells and damaged active lesions of segmental capillary loops. Lower-energizer damp-heat syndrome was associated with Hass III level, destroying active lesions of capillary loops, segmental proliferation of endothelial cells, glomerular segmental lesions, focal interstitial infiltration of inflammatory cells, focal interstitial fibrosis and tubular atrophy. Blood stasis syndrome was associated with Hass IV level, glomerular sclerosis, segmental glomerulosclerosis (S)/adhesion, mesangial hypercellularity (M), angiohyalinosis, multi-foci interstitial infiltration of inflammatory cells, multi-foci interstitial fibrosis and tubular atrophy. Phlegm-damp syndrome had higher proportions of Hass I and III levels, but with no association with other pathological parameters. CONCLUSIONS: Excess evil syndrome was associated with partial pathological characteristics of IgA nephropathy. It could reflect pathological damage degree of target organs, activities, chronic lesions, and prognosis of IgA nephropathy to certain extent. Correlated pathological characteristics and its evolution could indicate excess evil syndrome types and their evolution rules.

Statistically preferred basis of an open quantum system: its relation to the eigenbasis of a renormalized self-Hamiltonian.

We study the problem of the basis of an open quantum system, under a quantum chaotic environment, which is preferred in view of its stationary reduced density matrix (RDM), that is, the basis in which the stationary RDM is diagonal. It is shown that, under an initial condition composed of sufficiently many energy eigenstates of the total system, such a basis is given by the eigenbasis of a renormalized self-Hamiltonian of the system, in the limit of large Hilbert space of the environment. Here, the renormalized self-Hamiltonian is given by the unperturbed self-Hamiltonian plus a certain average of the interaction Hamiltonian over the environmental degrees of freedom. Numerical simulations performed in two models, both with the kicked rotor as the environment, give results consistent with the above analytical predictions.

Complexity and instability of quantum motion near a quantum phase transition.

We show that the number of harmonics of the Wigner function, recently proposed as a measure of quantum complexity, can also be used to characterize quantum phase transitions. The nonanalytic behavior of this quantity in the neighborhood of a quantum phase transition is illustrated by means of the Dicke model and is compared to two well-known measures of the (in)stability of quantum motion: the quantum Loschmidt echo and fidelity.

Statistical description of small quantum systems beyond the weak-coupling limit.

An explicit expression is derived for the statistical description of small quantum systems, which are relatively weakly and directly coupled to only small parts of their environments. The derived expression has a canonical form, but is given by a renormalized self-Hamiltonian of the studied system, which appropriately takes into account the influence of the system-environment interaction. In the case that the system has a narrow spectrum and the environment is sufficiently large, the modification to the self-Hamiltonian usually has a mean-field feature, given by an environmental average of the interaction Hamiltonian. In other cases, the modification may be beyond the mean-field approximation.

Scaling behavior for a class of quantum phase transitions.

We show that for quantum phase transitions with a single bosonic zero mode at the critical point, like the Dicke model and the Lipkin-Meshkov-Glick model, metric quantities such as fidelity, that is, the overlap between two ground states corresponding to two values λ(1) and λ(2) of the controlling parameter λ, depend only on the ratio η = (λ(1) -λ(c))/(λ(2) -λ(c)), where λ = λ(c) at the critical point. This scaling property is valid also for time-dependent quantities such as the Loschmidt echo, provided time is measured in units of the inverse frequency of the critical mode.

Preferred states of decoherence under intermediate system-environment coupling.

The notion that decoherence rapidly reduces a superposition state to an incoherent mixture implicitly adopts a special representation, namely, the representation of preferred (pointer) states (PS). For weak or strong system-envrionment interaction, the behavior of PS is well known. Via a simple dynamical model that simulates a two-level system interacting with few other degrees of freedom as its environment, it is shown that even for intermediate system-environment coupling, approximate PS may still emerge from the coherent quantum dynamics of the whole system in the absence of any thermal averaging. The found PS can also continuously deform to expected limits for weak or strong system-environment coupling. Computational results are also qualitatively explained. The findings should be useful towards further understanding of decoherence and quantum thermalization processes.

Semiclassical approach to the quantum Loschmidt echo in deep quantum regions: from validity to breakdown.

Semiclassical results are usually expected to be valid in the semiclassical regime. An interesting question is, in models in which appropriate effective Planck constants can be introduced, to what extent will a semiclassical prediction stay valid when the effective Planck constant is increased? In this paper, we numerically study this problem, focusing on semiclassical predictions for the decay of the quantum Loschmidt echo in deep quantum regions. Our numerical simulations, carried out in the chaotic regime in the sawtooth model and in the kicked rotator model and also in the critical region of a one-dimensional Ising chain in transverse field, show that the semiclassical predictions may work even in deep quantum regions, particularly for perturbation strength in the so-called Fermi-Golden-Rule regime.

T-2 toxin induces degenerative articular changes in rodents: link to Kaschin-Beck disease.

Osteoarthritis (OA) is a degenerative joint disease that is characterized by joint pain and a progressive loss of articular cartilage. Kaschin-Beck Disease is a form of endemic OA in China whose etiology is unclear, but epidemiological data indicate a possible link to trichothecenes mycotoxin exposure. In vitro, T-2 toxin, a trichothecenes mycotoxin, has been demonstrated to inhibit aggrecan synthesis and promote aggrecanase and pro-inflammatory cytokine production in cultured chondrocytes. To assess the effects of T-2 toxin on articular cartilage in vivo, Wistar rats were fed a diet containing T-2 toxin (100 ng/kg chow) for six and ten months. Following six months of T-2 toxin exposure, histopathological changes in femorotibial cartilage were characterized by chondrocyte degeneration/necrosis and loss, chondrocyte clones, and loss of proteoglycan staining of articular cartilage, sometimes involving the entire thickness of the cartilage in the tibial plateaus and femoral condyles. By ten months, in addition to these changes, there was evidence of cartilage fibration in some rats. In conclusion, T-2 toxin exposure in rats induced degenerative lesions in articular cartilage similar to spontaneous OA, lending support to an etiologic role of mycotoxins in Kaschin-Beck Disease. T-2 toxin-induced degenerative joint disease may be a useful model of metabolic polyarticular OA.

Semiclassical approach to survival probability at quantum phase transitions.

We study the decay of survival probability at quantum phase transitions with infinitely degenerate ground levels at critical points. For relatively long times, the semiclassical theory predicts power-law decay of the survival probability in systems with d=1 and exponential decay in systems with sufficiently large d, where d is the degrees of freedom of the classical counterpart of the system. The predictions are checked numerically in four models.