Prethermalization and thermalization in isolated quantum systems

K Mallayya, M Rigol, W De Roeck - Physical Review X, 2019 - APS
Prethermalization has been extensively studied in systems close to integrability. We propose
a more general, yet conceptually simpler, setup for this phenomenon. We consider a …

Fluctuation theorem for many-body pure quantum states

E Iyoda, K Kaneko, T Sagawa - Physical review letters, 2017 - APS
We prove the second law of thermodynamics and the nonequilibrium fluctuation theorem for
pure quantum states. The entire system obeys reversible unitary dynamics, where the initial …

Heating rates in periodically driven strongly interacting quantum many-body systems

K Mallayya, M Rigol - Physical review letters, 2019 - APS
We study heating rates in strongly interacting quantum lattice systems in the thermodynamic
limit. Using a numerical linked cluster expansion, we calculate the energy as a function of …

Combining dynamical quantum typicality and numerical linked cluster expansions

J Richter, R Steinigeweg - Physical Review B, 2019 - APS
We demonstrate that numerical linked cluster expansions (NLCE) yield a powerful approach
to calculate time-dependent correlation functions for quantum many-body systems in one …

Linked cluster expansions for open quantum systems on a lattice

A Biella, J Jin, O Viyuela, C Ciuti, R Fazio, D Rossini - Physical Review B, 2018 - APS
We propose a generalization of the linked-cluster expansions to study driven-dissipative
quantum lattice models, directly accessing the thermodynamic limit of the system. Our …

Quantum quenches and relaxation dynamics in the thermodynamic limit

K Mallayya, M Rigol - Physical review letters, 2018 - APS
We implement numerical linked cluster expansions (NLCEs) to study dynamics of lattice
systems following quantum quenches, and focus on a hard-core boson model in one …

Benchmarking a novel efficient numerical method for localized 1D Fermi-Hubbard systems on a quantum simulator

B Hebbe Madhusudhana, S Scherg, T Kohlert, I Bloch… - Prx Quantum, 2021 - APS
Quantum simulators have made a remarkable progress towards exploring the dynamics of
many-body systems, many of which offer a formidable challenge to both theoretical and …

Quantum quench dynamics in the transverse-field Ising model: A numerical expansion in linked rectangular clusters

J Richter, T Heitmann, R Steinigeweg - SciPost Physics, 2020 - scipost.org
We study quantum quenches in the transverse-field Ising model defined on different lattice
geometries such as chains, two-and three-leg ladders, and two-dimensional square lattices …

Prethermalization, thermalization, and Fermi's golden rule in quantum many-body systems

K Mallayya, M Rigol - Physical Review B, 2021 - APS
We study the prethermalization and thermalization dynamics of local observables in weakly
perturbed nonintegrable systems, with Hamiltonians of the form H ̂ 0+ g V ̂, where H ̂ 0 …

Approximating the long time average of the density operator: Diagonal ensemble

A Çakan, JI Cirac, MC Bañuls - Physical Review B, 2021 - APS
For an isolated generic quantum system out of equilibrium, the long time average of
observables is given by the diagonal ensemble, ie, the mixed state with the same probability …