Mario Collura

Equilibration of a Tonks-Girardeau gas following a trap release.

We study the nonequilibrium dynamics of a Tonks-Girardeau gas released from a parabolic trap to a circle. We present the exact analytic solution of the many body dynamics and prove that, for large times and in a properly defined thermodynamic limit, the reduced density matrix of any finite subsystem converges to a generalized Gibbs ensemble. The equilibration mechanism is expected to be the same for all one-dimensional systems.

Analytic results for a quantum quench from free to hard-core one-dimensional bosons

It is widely believed that the stationary properties after a quantum quench in integrable systems can be described by a generalized Gibbs ensemble (GGE), even if all the analytical evidence is based on free theories in which the pre- and post-quench modes are linearly related. In contrast, we consider the experimentally relevant quench of the one-dimensional Bose gas from zero to infinite interaction, in which the relation between modes is nonlinear, and consequently Wicks theorem does not hold. We provide exact analytical results for the time evolution of the dynamical density-density correlation function at any time after the quench and we prove that its stationary value is described by a GGE in which Wicks theorem is restored.

Quench dynamics of a Tonks–Girardeau gas released from a harmonic trap

We consider the non-equilibrium dynamics of a gas of impenetrable bosons released from a harmonic trapping potential to a circle. The many-body dynamics is solved analytically and the time dependence of all the physically relevant correlations is described. We prove that, for large times and in the thermodynamic limit, the reduced density matrix of any subsystem converges to a generalized Gibbs ensemble as a consequence of the integrability of the model. We discuss the approach to stationary behavior at late times. We also describe the time dependence of the entanglement entropy which attains a very simple form in the stationary state.

Non-equilibrium transport in d-dimensional non-interacting Fermi gases

We consider a non-interacting Fermi gas in

Stationary entanglement entropies following an interaction quench in 1D Bose gas

d

Nonequilibrium spin transport in integrable spin chains: Persistent currents and emergence of magnetic domains

dimensions, both in the non-relativistic and relativistic case. The system of size

Transport in out-of-equilibrium XXZ chains: Nonballistic behavior and correlation functions

L^{d}

Interaction quench in a trapped 1D Bose gas

is initially prepared into two halves

Real-time confinement following a quantum quench to a non-integrable model

\mathcal{L}

Quantum quench within the gapless phase of thespin−12Heisenberg XXZ spin chain

and