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Dynamical phase transition in quantum many body systems is usually studied by taking it in the ground state and then quenching a parameter to a new value. We investigate here the dynamics when one performs the time evolution of a generic…

Statistical Mechanics · Physics 2020-08-04 Sirshendu Bhattacharyya , Subinay Dasgupta

Over the last few years it was pointed out that certain observables of time-evolving quantum systems may have singularities at certain moments in time, mimicking the singularities physical systems have when undergoing phase transitions.…

Statistical Mechanics · Physics 2019-09-11 V. Gurarie

Interacting many-body systems that are driven far away from equilibrium can exhibit phase transitions between dynamically emerging quantum phases, which manifest as singularities in the Loschmidt echo. Whether and under which conditions…

Statistical Mechanics · Physics 2017-11-08 Simon A. Weidinger , Markus Heyl , Alessandro Silva , Michael Knap

We study the dynamic sensitivity of the quantum Rabi model, which exhibits quantum criticality in the finite-component-system case. This dynamic sensitivity can be detected by introducing an auxiliary two-level atom far-off-resonantly…

Quantum Physics · Physics 2021-01-06 Ying Hu , Jian Huang , Jin-Feng Huang , Qiong-Tao Xie , Jie-Qiao Liao

In this work it is shown that dynamical quantum phase transitions in Loschmidt echos control the nonequilibrium dynamics of the order parameter after particular quantum quenches in systems with broken-symmetry phases. A direct connection…

Statistical Mechanics · Physics 2014-11-24 Markus Heyl

Quantum localization (single-body or many-body) comes with the emergence of local conserved quantities -- whose conservation is precisely at the heart of the absence of transport through the system. In the case of fermionic systems and…

Disordered Systems and Neural Networks · Physics 2025-03-04 Leonardo Benini , Piero Naldesi , Rudolf A. Römer , Tommaso Roscilde

The physics of quantum states beyond thermodynamic equilibrium represents a fascinating and cutting-edge research. Using numerical state-of-the-art approaches, we observe dynamical quantum phase transitions in the dissipative two-qubit Rabi…

Quantum Physics · Physics 2025-09-08 G. Di Bello , A. Ponticelli , F. Pavan , V. Cataudella , G. De Filippis , A. de Candia , C. A. Perroni

We uncover a remarkably regular array of singularity-like structures within the deep strong-coupling limit of qubit-oscillator (e.g. light-matter) systems described by the quantum Rabi model, as a function of time and coupling strength.…

Mesoscale and Nanoscale Physics · Physics 2021-11-02 J. M. Betancourt , F. J. Rodríguez , L. Quiroga , N. F. Johnson

The traditional dynamical phase transition refers to the appearance of singularities in an observable with respect to a control parameter for a late-time state or singularities in the rate function of the Loschmidt echo with respect to…

Quantum Physics · Physics 2024-08-30 Ze-Chuan Liu , Kai Li , Yong Xu

Discrete time crystals are related to non-equilibrium dynamics of periodically driven quantum many-body systems where the discrete time translation symmetry of the Hamiltonian is spontaneously broken into another discrete symmetry.…

Quantum Gases · Physics 2018-05-31 Arkadiusz Kosior , Krzysztof Sacha

Dynamical quantum phase transitions are at the forefront of current efforts to understand quantum matter out of equilibrium. Except for a few exactly solvable models, predictions of these critical phenomena typically rely on advanced…

Strongly Correlated Electrons · Physics 2022-07-18 Fredrik Brange , Sebastiano Peotta , Christian Flindt , Teemu Ojanen

As the simplest and most fundamental model describing the interaction between light and matter, a breakdown in the rotating wave approximation of the Rabi model leads to phase transition versus coupling strength when the frequency of the…

Quantum Physics · Physics 2023-10-17 M. Li , Y. N. Wang , Z. Y. Song , Y. M. Zhao , X. L. Zhao , H. Y. Ma

We report dynamical quantum phase transition portrait in the alternating field transverse XY spin chain with Dzyaloshinskii-Moriya interaction by investigating singularities in the Loschmidt echo and the corresponding rate function after a…

Quantum Physics · Physics 2020-06-16 Stav Haldar , Saptarshi Roy , Titas Chanda , Aditi Sen De , Ujjwal Sen

Phase transitions have recently been formulated in the time domain of quantum many-body systems, a phenomenon dubbed dynamical quantum phase transitions (DQPTs), whose phenomenology is often divided in two types. One refers to distinct…

Quantum Physics · Physics 2021-01-04 Ricardo Puebla

We investigate sudden quenches across the critical point in the transverse field Ising chain with a perturbing non-integrable next-nearest-neighbour interaction. Expressions for the return (Loschmidt) amplitude and associated rate function…

Statistical Mechanics · Physics 2015-06-22 Johannes Kriel , Christoph Karrasch , Stefan Kehrein

Global quenches of quantum many-body models can give rise to periodic dynamical quantum phase transitions (DQPTs) directly connected to the zeros of a Landau order parameter (OP). The associated dynamics has been argued to bear close…

Quantum Physics · Physics 2023-08-15 Maarten Van Damme , Jean-Yves Desaules , Zlatko Papić , Jad C. Halimeh

We analytically investigated the dynamical quantum phase transitions in the Bose-Hubbard model using the Loschmidt echo as an observable, revealing that after a quench, the global Loschmidt echo exhibits cusp singularities with a…

Quantum Gases · Physics 2025-12-12 Jia Li , Yajiang Hao

In this paper, we investigate the dynamical quantum phase transitions appearing in the Loschmidt echo and the time-dependent order parameter of a quantum system of harmonically coupled degenerate bosons as a function of the power-law decay…

Quantum Gases · Physics 2021-02-16 Marvin Syed , Tilman Enss , Nicolò Defenu

We describe how to characterize dynamical phase transitions in open quantum systems from a purely dynamical perspective, namely, through the statistical behavior of quantum jump trajectories. This approach goes beyond considering only…

Statistical Mechanics · Physics 2013-04-26 Igor Lesanovsky , Merlijn van Horssen , Madalin Guta , Juan P. Garrahan

We study a Bose-Einstein condensate at the low energy limit and show that their collective dynamics exhibit interesting quantum dynamical behavior. The system undergoes a dynamical quantum phase transition after a sudden quench into a…

Quantum Physics · Physics 2019-11-26 Mehdi Abdi
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