Stationary entropies after a quench from excited states in the Ising chain

2014/06/19 by Márton Kormos, Leda Bucciantini, Pasquale Calabrese · 50 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Diagonal #Entropy (arrow of time) #Excited state #Hamiltonian (control theory) #Ising model #Mathematical physics #Mathematics #Opinion Dynamics and Social Influence #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Statistical physics #Thermodynamic limit #cond-mat.stat-mech

paper · pdf · doi:10.1209/0295-5075/107/40002

published in Europhysics Letters (EPL) 107(4), 40002 (Institute of Physics) · 6 pages, 1 figure

arxiv created 2014/06/19 · openalex publication_date 2014/08/01 · arxiv updated 2014/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the asymptotic state after a sudden quench of the magnetic field in the transverse field quantum Ising chain starting from excited states of the pre-quench Hamiltonian. We compute the thermodynamic entropies of the generalised Gibbs and the diagonal ensembles and we find that the generalised Gibbs entropy is always twice the diagonal one. We show that particular care should be taken in extracting the thermodynamic limit since different averages of equivalent microstates give different results for the entropies.

Citations

• Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization
• Infinite-Time Average of Local Fields in an Integrable Quantum Field Theory After a Quantum Quench
• Microscopic diagonal entropy and its connection to basic thermodynamic relations
• Chaos and Quantum Thermalization
• Finite-size corrections versus relaxation after a sudden quench
• Chaos and Statistical Relaxation in Quantum Systems of Interacting Particles
• Quantum statistical mechanics in a closed system