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This colloquium gives an overview of recent theoretical and experimental progress in the area of nonequilibrium dynamics of isolated quantum systems. We particularly focus on quantum quenches: the temporal evolution following a sudden or…

Statistical Mechanics · Physics 2011-09-29 Anatoli Polkovnikov , Krishnendu Sengupta , Alessandro Silva , Mukund Vengalattore

Phenomena analogous to ground state quantum phase transitions have recently been noted to occur among states throughout the excitation spectra of certain many-body models. These excited state phase transitions are manifested as simultaneous…

Quantum Physics · Physics 2008-05-06 M. A. Caprio , P. Cejnar , F. Iachello

This work is concerned with the excited state quantum phase transitions (ESQPTs) defined in Ann.Phys. 323, 1106 (2008). In many-body models that exhibit such transitions, the ground state quantum phase transition (QPT) occurs in parallel…

Statistical Mechanics · Physics 2018-01-08 Francisco Pérez-Bernal , Lea F. Santos

The (Loschmidt) overlap between the state at different times after a quantum quench is attracting increasing interest, as it was recently shown that in the thermodynamic limit its logarithm per unit of length has a non-analytic behavior if…

Statistical Mechanics · Physics 2013-09-09 Maurizio Fagotti

A dynamical quantum phase transition can occur during time evolution of sudden quenched quantum systems across a phase transition. It corresponds to the nonanalytic behavior at a critical time of the rate function of the quantum state…

Quantum Physics · Physics 2019-05-14 Xue-Yi Guo , Chao Yang , Yu Zeng , Yi Peng , He-Kang Li , Hui Deng , Yi-Rong Jin , Shu Chen , Dongning Zheng , Heng Fan

Quantum many-body systems undergoing phase transitions have been proposed as probes enabling beyond-classical enhancement of sensing precision. However, this enhancement is usually limited to a very narrow region around the critical point.…

Quantum Physics · Physics 2024-09-18 Chiranjib Mukhopadhyay , Abolfazl Bayat

A phase transition indicates a sudden change in the properties of a large system. For temperature-driven phase transitions this is related to non-analytic behavior of the free energy density at the critical temperature: The knowledge of the…

Statistical Mechanics · Physics 2015-03-20 Markus Heyl , Anatoli Polkovnikov , Stefan Kehrein

The connection between the non-equilibrium dynamics of isolated quantum many-body systems and statistical mechanics is a fundamental open question. It is generally believed that the unitary quantum evolution of a sufficiently complex system…

Density functional theory has made great success in solid state physics, quantum chemistry and in computational material sciences. In this work we show that density functional theory could shed light on phase transitions and entanglement at…

Statistical Mechanics · Physics 2017-08-11 Bo-Bo Wei

We analyze the dynamics of entanglement entropy in a generic quantum many-body open system from the perspective of quantum information and error corrections. We introduce a random unitary circuit model with intermittent projective…

Quantum Physics · Physics 2020-07-17 Soonwon Choi , Yimu Bao , Xiao-Liang Qi , Ehud Altman

Quantum critical behavior of many-body phase transitions is one of the most fascinating yet challenging questions in quantum physics. Here, we improved the band-mapping method to investigate the quantum phase transition from superfluid to…

We study the phase diagram, both at zero and finite temperature, in a class of $\mathbb{Z}_q$ models with infinite range interactions. We are able to identify the transitions between a symmetry-breaking and a trivial phase by using a…

Statistical Mechanics · Physics 2020-08-04 Adu Offei-Danso , Federica Maria Surace , Fernando Iemini , Angelo Russomanno , Rosario Fazio

The nonequilibrium thermodynamics of interacting quantum many-body systems is investigated within the framework of thermal time-dependent density functional theory using a generalized linear-response formulation for the full quantum work…

Quantum Physics · Physics 2025-12-23 Antonio Palamara , Francesco Plastina , Antonello Sindona , Irene D'Amico

Open quantum systems with nearly degenerate energy levels have been shown to exhibit long-lived metastable states in the approach to equilibrium, even when modelled with certain Lindblad-form quantum master equations. This is a result of…

Quantum Physics · Physics 2024-02-16 Matthew Gerry , Michael J. Kewming , Dvira Segal

Phase transitions are driven by collective fluctuations of a system's constituents that emerge at a critical point. This mechanism has been extensively explored for classical and quantum systems in equilibrium, whose critical behavior is…

(abridged) In this paper, we present the issues we consider as essential as far as the statistical mechanics of finite systems is concerned. In particular, we emphasis our present understanding of phase transitions in the framework of…

Statistical Mechanics · Physics 2012-02-20 P. Chomaz , F. Gulminelli

In quantum many-body systems, characterizing topological phase transitions typically requires complex many-body topological invariants, which are costly to compute and measure. Inspired by quantum reservoir computing, we propose an…

Quantum Physics · Physics 2026-01-21 Li Xin , Da Zhang , Zhang-Qi Yin

One of the most striking many-body phenomena in nature is the sudden change of macroscopic properties as the temperature or energy reaches a critical value. Such equilibrium transitions have been predicted and observed in two and three…

We report a phase transition in the projected ensemble - the collection of post-measurement wavefunctions of a local subsystem obtained by measuring its complement. The transition emerges in systems undergoing random permutation dynamics, a…

Quantum Physics · Physics 2026-03-17 Chang Liu , Matteo Ippoliti , Wen Wei Ho

Considerable theoretical and experimental efforts have been devoted to the quench dynamics, in particular, the dynamical quantum phase transition (DQPT) and the steady-state transition. These developments have motivated us to study the…

Quantum Gases · Physics 2020-03-30 Pei Wang , Gao Xianlong
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