ABSTRACT
Direct design of complex functional materials would revolutionize technologies ranging from printable organs to novel clean energy devices. However, even incremental steps toward designing functional materials have proven challenging. If the material is constructed from highly complex components, the design space of materials properties rapidly becomes too computationally expensive to search. On the other hand, very simple components such as uniform spherical particles are not powerful enough to capture rich functional behavior. Here, we introduce a differentiable materials design model with components that are simple enough to design yet powerful enough to capture complex materials properties: rigid bodies composed of spherical particles with directional interactions (patchy particles). We showcase the method with self-assembly designs ranging from open lattices to self-limiting clusters, all of which are notoriously challenging design goals to achieve using purely isotropic particles. By directly optimizing over the location and interaction of the patches on patchy particles using gradient descent, we dramatically reduce the computation time for finding the optimal building blocks.
ABSTRACT
Understanding the microscopic mechanisms of thermalization in closed quantum systems is among the key challenges in modern quantum many-body physics. We demonstrate a method to probe local thermalization in a large-scale many-body system by exploiting its inherent disorder and use this to uncover the thermalization mechanisms in a three-dimensional, dipolar-interacting spin system with tunable interactions. Utilizing advanced Hamiltonian engineering techniques to explore a range of spin Hamiltonians, we observe a striking change in the characteristic shape and timescale of local correlation decay as we vary the engineered exchange anisotropy. We show that these observations originate from the system's intrinsic many-body dynamics and reveal the signatures of conservation laws within localized clusters of spins, which do not readily manifest using global probes. Our method provides an exquisite lens into the tunable nature of local thermalization dynamics and enables detailed studies of scrambling, thermalization, and hydrodynamics in strongly interacting quantum systems.
Subject(s)
Hydrodynamics , Physics , AnisotropyABSTRACT
OBJECTIVE: To analyze the consistency of gene mutation sites between bone marrow DNA (BM-tDNA) and perepheral plasma circulating tumor DNA (PP-ctDNA) in patients with myelodysplastic syndrome (MDS). METHODS: The simultaneous sampled BM and PP from 19 patients (SBPP) was detected by NGS-127 gene panel, and the consistency of VAF between BM-tDNA and PP-ctDNA was analyzed. The peripheral blood cell tumor DNA (PC-tDNA) of 5 out of 19 patients was detected randomly, the consistency of VAF among PC-tDNAï¼BM-tDNA and PP-ctDNA was analyzed. The non simultaneous sampled BM and PP from 13 patients (NBPP) was detected, and the difference value of VAF between BM-tDNA and PP-ctDNA in SBPP and NBPP was analyzed. RESULTS: The average concentration of PP-ctDNA in SBPP was 0.59 ng/µl and 0.604 ng/µl in NBPP. The median concentration of PP-ctDNA in SBPP and NBPP was 0.330 ng/µl and 0.338 ng/µl, respectively. The study showed a good consistency of VAF between BM-tDNA and PP-ctDNA in the SBPP (R2=0.9693, P<0.05), and the consistency of VAF between BM-tDNA and PP-ctDNA in single base replacement (SNP) sites (R2=0.9712) was better than that in insertion deletion (Indel) sites (R2=0.6813). The results showed a good consistency of VAF between BM-tDNA and PP-ctDNA both in 12 patients before treatment (R2=0.9325, P<0.05) and 5 patients (R2=0.9875, P<0.05) after treatment. The results also showed that the VAF of PC-tDNA had a good consistency with the VAF of BM-tDNA (R2=0.8783) and PP-ctDNA (R2=0.8783) (P<0.05). The difference value of VAF between BM-tDNA and PP-ctDNA in SBPP was significantly lower than that in NBPP (P<0.05). CONCLUSION: PP can replace BM as a biological sample for genes mutation detection in patients with MDS due to its stable concentration, high degree of consistency with bone marrow in clinical significant mutation sites and easy collection.
