Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems

C Gogolin, J Eisert - Reports on Progress in Physics, 2016 - iopscience.iop.org
We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

Quantum quench in the transverse field Ising chain: I. Time evolution of order parameter correlators

P Calabrese, FHL Essler, M Fagotti - Journal of Statistical …, 2012 - iopscience.iop.org
We consider the time evolution of order parameter correlation functions after a sudden
quantum quench of the magnetic field in the transverse field Ising chain. Using two novel …

Unquenched—a memoir on non-equilibrium dynamics of quantum many-body systems: honoring Amit Dutta

S Sharma, T Nag, A Rajak, S Bandyopadhyay… - The European Physical …, 2024 - Springer
This short review explores the physics journey of Professor Amit Dutta, illuminating his
collaborative contributions with students and peers. We mainly focus on standard …

Quantum quenches in the transverse field Ising chain: II. Stationary state properties

P Calabrese, FHL Essler, M Fagotti - Journal of Statistical …, 2012 - iopscience.iop.org
We consider the stationary state properties of the reduced density matrix as well as spin–
spin correlation functions after a sudden quantum quench of the magnetic field in the …

Mixed state dynamical quantum phase transitions

U Bhattacharya, S Bandyopadhyay, A Dutta - Physical Review B, 2017 - APS
Preparing an integrable system in a mixed state described by a thermal density matrix, we
subject it to a sudden quench and explore the subsequent unitary dynamics. To address the …

Information scrambling over bipartitions: Equilibration, entropy production, and typicality

G Styliaris, N Anand, P Zanardi - Physical Review Letters, 2021 - APS
In recent years, the out-of-time-order correlator (OTOC) has emerged as a diagnostic tool for
information scrambling in quantum many-body systems. Here, we present exact analytical …

Random quantum batteries

F Caravelli, G Coulter-De Wit, LP García-Pintos… - Physical Review …, 2020 - APS
Quantum nanodevices are fundamental systems in quantum thermodynamics that have
been the subject of profound interest in recent years. Among these, quantum batteries play a …

Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model

J Lang, B Frank, JC Halimeh - Physical Review B, 2018 - APS
We construct the finite-temperature dynamical phase diagram of the fully connected
transverse-field Ising model from the vantage point of two disparate concepts of dynamical …

Dynamical quantum phase transitions: A geometric picture

J Lang, B Frank, JC Halimeh - Physical review letters, 2018 - APS
The Loschmidt echo is a purely quantum-mechanical quantity whose determination for large
quantum many-body systems requires an exceptionally precise knowledge of all eigenstates …

Slow quenches in a quantum Ising chain: Dynamical phase transitions and topology

S Sharma, U Divakaran, A Polkovnikov, A Dutta - Physical Review B, 2016 - APS
We study the slow quenching dynamics (characterized by an inverse rate τ− 1) of a one-
dimensional transverse Ising chain with nearest neighbor ferromagentic interactions across …