412 research outputs found
Integrability-protected adiabatic reversibility in quantum spin chains
We consider the out-of-equilibrium dynamics of the Heisenberg anisotropic
quantum spin-- chain threaded by a time-dependent magnetic flux. In the
spirit of the recently developed generalized hydrodynamics (GHD), we exploit
the integrability of the model for any flux values to derive an exact
description of the dynamics in the limit of slowly varying flux: the state of
the system is described at any time by a time-dependent generalized Gibbs
ensemble. Two dynamical regimes emerge according to the value of the anisotropy
. For , reversibility is preserved: the initial state is
always recovered whenever the flux is brought back to zero. On the contrary,
for , instabilities of quasiparticles produce irreversible
dynamics as confirmed by the dramatic growth of entanglement entropy. In this
regime, the standard GHD description becomes incomplete and we complement it
via a maximum entropy production principle. We test our predictions against
numerical simulations finding excellent agreement.Comment: 6+13 pages; 4+3 figure
Entanglement front generated by an impurity traveling in an isolated many-body quantum system
Universal late-time dynamics in isolated one-dimensional statistical systems with topological excitations
Quantum corrections to the classical field approximation for one-dimensional quantum many-body systems in equilibrium
Generalized hydrodynamics of the attractive non-linear Schrodinger equation
We study the generalized hydrodynamics of the one-dimensional classical Non
Linear Schroedinger equation in the attractive phase. We thereby show that the
thermodynamic limit is entirely captured by solitonic modes and radiation is
absent. Our results are derived by considering the semiclassical limit of the
quantum Bose gas, where the Planck constant has a key role as a regulator of
the classical soliton gas. We use our result to study adiabatic interaction
changes from the repulsive to the attractive phase, observing soliton
production and obtaining exact analytical results which are in excellent
agreement with Monte Carlo simulations.Comment: 24 pages, 4 figure
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