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We study dynamical phase transitions (DPTs) in quantum many-body systems with infinite-range interaction, and present a theory connecting the two kinds of known DPTs (sometimes referred to as DPTs-I and DPTs-II) with the concept of…

Statistical Mechanics · Physics 2022-07-29 Ángel L. Corps , Armando Relaño

We overview the concept of dynamical phase transitions in isolated quantum systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized by an order parameter, which features qualitatively distinct temporal…

Statistical Mechanics · Physics 2022-10-25 Jamir Marino , Martin Eckstein , Matthew S. Foster , Ana Maria Rey

Using an infinite Matrix Product State (iMPS) technique based on the time-dependent variational principle (TDVP), we study two major types of dynamical phase transitions (DPT) in the one-dimensional transverse-field Ising model (TFIM) with…

Statistical Mechanics · Physics 2018-07-23 Jad C. Halimeh , Valentin Zauner-Stauber

We present a theory for the two kinds of dynamical quantum phase transitions, termed DPT-I and DPT-II, based on a minimal set of symmetry assumptions. In the special case of collective systems with infinite-range interactions, both are…

Statistical Mechanics · Physics 2023-03-10 Ángel L. Corps , Armando Relaño

We consider open quantum systems whose dynamics is governed by a time-independent Markovian Lindblad Master equation. Such systems approach their stationary state on a timescale that is determined by the spectral gap of the generator of the…

Quantum Physics · Physics 2022-07-27 Simon Kochsiek , Federico Carollo , Igor Lesanovsky

We present a method to accelerate the dynamical evolution of multiqubit open system by employing dynamical decoupling pulses (DDPs) when the qubits are initially in W-type states. It is found that this speed-up evolution can be achieved in…

Quantum Physics · Physics 2015-08-20 Ya-Ju Song , Qing-Shou Tan , Le-Man Kuang

Phase transitions are a fundamental concept in science describing diverse phenomena ranging from, e.g., the freezing of water to Bose-Einstein condensation. While the concept is well-established in equilibrium, similarly fundamental…

We use non-equilibrium dynamical mean-field theory to demonstrate the existence of a critical interaction in the real-time dynamics of the Hubbard model after an interaction quench. The critical point is characterized by fast thermalization…

Strongly Correlated Electrons · Physics 2009-09-02 Martin Eckstein , Marcus Kollar , Philipp Werner

We describe a simple model of fermions in quasi-one dimension that features interaction induced deconfinement (a phase transition where the effective dimensionality of the system increases as interactions are turned on) and which can be…

Strongly Correlated Electrons · Physics 2015-05-13 Sam T. Carr , Jorge Quintanilla , Joseph J. Betouras

The behavior of systems far from equilibrium is often complex and unpredictable, challenging and sometimes overturning the physical intuition derived from equilibrium scenarios. One striking example of this is the Mpemba effect, which…

Quantum Physics · Physics 2025-04-02 Stefano Longhi

The main objective of this article are two-fold. First, we introduce some general principles on phase transition dynamics, including a new dynamic transition classification scheme, and a Ginzburg-Landau theory for modeling equilibrium phase…

Mathematical Physics · Physics 2009-03-12 Tian Ma , Shouhong Wang

This work investigates dynamical quantum phase transitions (DQPTs) in a one-dimensional Ising model subjected to a periodically modulated transverse field. In contrast to sudden quenches, we demonstrate that a DQPT can be induced in two…

Other Condensed Matter · Physics 2026-05-25 Yuanyuan Cheng , Yuxia Zhang , Tianhui Qiu , Peipei Xin , Bao-Ming Xu

We demonstrate the real-time detection of dynamical phase transitions (DPTs) in lattice-confined spinor gases subject to a priori unknown time-variant interactions, via the temporal behaviors of both the system energy and spinor phases…

Quantum Gases · Physics 2026-04-07 J. O. Austin-Harris , Z. N. Hardesty-Shaw , C. Binegar , P. Sigdel , T. Bilitewski , Y. Liu

The Mpemba effect, where a state prepared farther from equilibrium relaxes faster to equilibrium than one prepared closer, has a quantum counterpart where relaxation is resolved by conserved charge. However, the fate of the quantum Mpemba…

Quantum Physics · Physics 2025-12-09 Han-Ze Li , Ching Hua Lee , Shuo Liu , Shi-Xin Zhang , Jian-Xin Zhong

We study dynamical phase transitions (DPT) in the driven and damped Dicke model, realizable for example by a driven atomic ensemble collectively coupled to a damped cavity mode. These DPTs are characterized by non-analyticities of certain…

Quantum Physics · Physics 2020-10-07 Valentin Link , Walter T. Strunz

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

Quantum Mpemba effect occurs when a quantum system, residing far away from the steady state, relaxes faster than a relatively nearer state. We look for the presence of this highly counterintuitive effect in the relaxation dynamics of the…

Statistical Mechanics · Physics 2025-10-29 Pitambar Bagui , Arijit Chatterjee , Bijay Kumar Agarwalla

The Mpemba effect refers to the anomalous relaxation of a quantum state that, despite being initially farther from equilibrium, relaxes faster than a closer counterpart. Detecting such a quantum Mpemba effect typically requires full…

Statistical Mechanics · Physics 2025-12-03 Pitambar Bagui , Arijit Chatterjee , Bijay Kumar Agarwalla

The Mpemba effect has initially been noticed in macroscopic systems -- namely that hot water can freeze faster than cold water -- but recently its extension to open quantum systems has attracted significant attention. This phenomenon can be…

Mesoscale and Nanoscale Physics · Physics 2025-04-08 Juliane Graf , Janine Splettstoesser , Juliette Monsel

We study the energy relaxation process in one-dimensional (1D) lattices with next-nearest-neighbor (NNN) couplings. This relaxation is produced by adding damping (absorbing conditions) to the boundary (free-end) of the lattice. Compared to…

Chaotic Dynamics · Physics 2022-07-19 Bin Xu , Jun Zhang , Wei Zhong , Chi Xiong , Daxing Xiong