Nonlinear Polariton Fluids in a Flatband Reveal Discrete Gap Solitons.

Phase frustration in periodic lattices is responsible for the formation of dispersionless flatbands. The absence of any kinetic energy scale makes flatband physics critically sensitive to perturbations and interactions. We report on the experimental investigation of the nonlinear response of cavity polaritons in the gapped flatband of a one-dimensional Lieb lattice. We observe the formation of gap solitons with quantized size and abrupt edges, a signature of the frozen propagation of switching fronts. This type of gap soliton belongs to the class of truncated Bloch waves, and has only been observed in closed systems up to now. Here, the driven-dissipative character of the system gives rise to a complex multistability of the flatband nonlinear domains. These results open up an interesting perspective regarding more complex 2D lattices and the generation of correlated photon phases.

Cooling of a One-Dimensional Bose Gas.

We experimentally study the dynamics of a degenerate one-dimensional Bose gas that is subject to a continuous outcoupling of atoms. Although standard evaporative cooling is rendered ineffective by the absence of thermalizing collisions in this system, we observe substantial cooling. This cooling proceeds through homogeneous particle dissipation and many-body dephasing, enabling the preparation of otherwise unexpectedly low temperatures. Our observations establish a scaling relation between temperature and particle number, and provide insights into equilibration in the quantum world.

Towards experimental quantum-field tomography with ultracold atoms.

The experimental realization of large-scale many-body systems in atomic-optical architectures has seen immense progress in recent years, rendering full tomography tools for state identification inefficient, especially for continuous systems. To work with these emerging physical platforms, new technologies for state identification are required. Here we present first steps towards efficient experimental quantum-field tomography. Our procedure is based on the continuous analogues of matrix-product states, ubiquitous in condensed-matter theory. These states naturally incorporate the locality present in realistic physical settings and are thus prime candidates for describing the physics of locally interacting quantum fields. To experimentally demonstrate the power of our procedure, we quench a one-dimensional Bose gas by a transversal split and use our method for a partial quantum-field reconstruction of the far-from-equilibrium states of this system. We expect our technique to play an important role in future studies of continuous quantum many-body systems.

Multimode dynamics and emergence of a characteristic length scale in a one-dimensional quantum system.

We study the nonequilibrium dynamics of a coherently split one-dimensional Bose gas by measuring the full probability distribution functions of matter-wave interference. Observing the system on different length scales allows us to probe the dynamics of excitations on different energy scales, revealing two distinct length-scale-dependent regimes of relaxation. We measure the crossover length scale separating these two regimes and identify it with the prethermalized phase-correlation length of the system. Our approach enables a direct observation of the multimode dynamics characterizing one-dimensional quantum systems.

Relaxation and prethermalization in an isolated quantum system.

Understanding relaxation processes is an important unsolved problem in many areas of physics. A key challenge is the scarcity of experimental tools for the characterization of complex transient states. We used measurements of full quantum mechanical probability distributions of matter-wave interference to study the relaxation dynamics of a coherently split one-dimensional Bose gas and obtained comprehensive information about the dynamical states of the system. After an initial rapid evolution, the full distributions reveal the approach toward a thermal-like steady state characterized by an effective temperature that is independent from the initial equilibrium temperature of the system before the splitting process. We conjecture that this state can be described through a generalized Gibbs ensemble and associate it with prethermalization.

Fluorescence correlation spectrometry of the interaction kinetics of tetramethylrhodamin alpha-bungarotoxin with Torpedo californica acetylcholine receptor.

Fluorescence correlation spectroscopy (FCS) is suited to determine low concentrations (10(-8) M) of slowly interacting molecules with different translational diffusion coefficients on the level of single molecule counting. This new technique was applied to characterize the interaction dynamics of tetramethylrhodamin labelled alpha-bungarotoxin (B( *)) with the detergent solubilized nicotinic acetylcholine receptor (AChR) of Torpedo californica electric organ. At pseudo-first-order conditions for AChR, the complex formation with B( *) is monophasic. The association rate coefficient of the monoliganded species AChR . B is k(ass)' = 3.8 . 10(3) s(-1) at 293 K (20 degrees C). The dissociation of bound B( *) from the monomer species AChR . B( *) . B (and AChR . B(2)( *)), initiated by adding an excess of nonlabelled alpha-bungarotoxin (B), is biphasic suggesting a three state cascade for the B-sites: R(alpha) --> R(alpha)' --> R(alpha)'' with the exchange dissociation constants: (k(diss)')(B) = 5.5(+/-1) . 10(-5) s(-1) and (k(diss)'')(B) = 3(+/-1) . 10(-6) s(-1) at 293 K. The data are consistent with dissociative intermediate steps of ligand exchange on two different interconvertible conformations of one binding site. The dissociation of bound B( *) by excess of the neurotransmitter acetylcholine (ACh) is biphasic. At [ACh] = 0.1 M both B( *) are released from the AChR . B(2)( *) species. The mechanism involves associative ternary intermediates (AChR . B( *)A, AChR . B( *)A(2) and AChR . B(2)( *)A(2)). The equilibrium constants (K(A)) and dissociation rate constants (k(-A)) for ACh in the ternary complex state R(alpha)' and R(alpha)'', respectively, are K(A)' = 1.1 . 10(-2) M and k(-A)' = 3 . 10(5) s(-1) and K(A)'' = 7.5 . 10(-2) M and k(-A)'' = 2 . 10(6) s(-1). It is of physiological importance that the FCS data indicate that the AChR monomer species (M(r) = 290 000), which normally at [ACh] 1 mM only binds one ACh molecule, does bind two ACh molecules at [ACh] 0.1 M.