Dynamical manifestation of Gibbs paradox after a quantum quench
arXiv:1801.05817 · doi:10.1103/PhysRevA.98.053610
Abstract
We study the propagation of entanglement after quantum quenches in the non-integrable para-magnetic quantum Ising spin chain. Tuning the parameters of the system, we observe a sudden increase in the entanglement production rate, which we show to be related to the appearance of new quasi-particle excitations in the post-quench spectrum. We argue that the phenomenon is the non-equilibrium version of the well-known Gibbs paradox related to mixing entropy and demonstrate that its characteristics fit the expectations derived from the quantum resolution of the paradox in systems with a non-trivial quasi-particle spectrum.
6+4 pages, LaTeX2e (pdflatex), 11 pdf figures. v2: substantially expanded version, main results unchanged. 13 pages, 15 pdf and 2 png figures
References in corpus (22)
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Quantum Quench in the Transverse Field Ising Chain
- Experimental Observation of a Generalized Gibbs Ensemble
- Entropy scaling and simulability by Matrix Product States
- Measuring entanglement growth in quench dynamics of bosons in an optical lattice
- Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- Entanglement dynamics after quantum quenches in generic integrable systems
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- Entanglement negativity after a global quantum quench
- Entanglement evolution and generalised hydrodynamics: noninteracting systems
- On entropy growth and the hardness of simulating time evolution
- Global characteristics of all eigenstates of local many-body Hamiltonians: participation ratio and entanglement entropy
- Entanglement dynamics in short and long-range harmonic oscillators
- Entanglement in a periodic quench
- Entanglement production in bosonic systems: Linear and logarithmic growth
- Rényi entropies after releasing the Néel state in the XXZ spin-chain
- Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems
- Stationary entropies after a quench from excited states in the Ising chain
- Quench dynamics of the Ising field theory in a magnetic field
- Quantum quench in the attractive regime of the sine-Gordon model
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- Entanglement evolution and generalised hydrodynamics: noninteracting systems
- Entanglement evolution and generalised hydrodynamics: interacting integrable systems
- Quantum information dynamics in multipartite integrable systems
- Entanglement spreading in non-equilibrium integrable systems
- Entanglement revivals as a probe of scrambling in finite quantum systems
- Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
- Relaxation of the order-parameter statistics in the Ising quantum chain
- Prethermalisation and Thermalisation in the Entanglement Dynamics
- Simulating the out-of-equilibrium dynamics of local observables by trading entanglement for mixture
- Chiral entanglement in massive quantum field theories in 1+1 dimensions
- Molecular dynamics simulation of entanglement spreading in generalized hydrodynamics
- Quasiclassical approach to quantum quench dynamics in the presence of an excited-state quantum phase transition
- Relaxation and entropy generation after quenching quantum spin chains
- A simple theory for quantum quenches in the ANNNI model
- Decay of long-lived oscillations after quantum quenches in gapped interacting quantum systems
- Spin fluctuations after quantum quenches in the S=1 Haldane chain: numerical validation of the semi-semiclassical theory
- A quantum information perspective on meson melting
- Detecting Many-Body Scars from Fisher Zeros
- Entanglement of Stationary States in the Presence of Unstable Quasiparticles
- Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models