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We study the effect of suddenly turning on a long-range interaction in a spinless Fermi gas in two dimensions. The short to intermediate time dynamics is obtained using the method of bosonization of the Fermi surface. This allow to…

Quantum Gases · Physics 2014-11-21 N. Nessi , A. Iucci , M. A. Cazalilla

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 study the quantum phase transitions of a model that describes the interconversion of interacting bosonic atoms and molecules. Using a classical analysis, we identify a threshold coupling line separating a molecular phase and a mixed…

Quantum Gases · Physics 2010-07-07 Gilberto Santos , Angela Foerster , Jon Links , Eduardo Mattei , Silvio R. Dahmen

In most lattice models, the closing of a band gap typically occurs at high-symmetry points in the Brillouin zone. Differently, in the Creutz model $-$ describing a system of spinless fermions hopping on a two-leg ladder pierced by a…

Quantum Physics · Physics 2019-02-12 R. Jafari , Henrik Johannesson , A. Langari , M. A. Martin-Delgado

We study the dynamical quantum phase transitions (DQPTs) manifested in the subsequent unitary dynamics of an extended Ising model with additional three spin interactions following a sudden quench. Revisiting the equilibrium phase diagram of…

Statistical Mechanics · Physics 2018-04-24 Sourav Bhattacharjee , Amit Dutta

We study the dissipative dynamics of a one-dimensional bosonic system described in terms of the bipartite Bose-Hubbard model with alternating gain and loss. This model exhibits the $\mathcal{PT}$ symmetry under some specific conditions and…

Quantum Gases · Physics 2023-03-07 Cătălin Paşcu Moca , Doru Sticlet , Balázs Dóra , Gergely Zaránd

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 investigate the robustness of a dynamical phase transition against quantum fluctuations by studying the impact of a ferromagnetic nearest-neighbour spin interaction in one spatial dimension on the non-equilibrium dynamical phase diagram…

Statistical Mechanics · Physics 2018-04-09 A. Lerose , J. Marino , B. Zunkovic , A. Gambassi , A. Silva

We analyze the dynamics of the return amplitude following a sudden quench in the three-state quantum Potts chain. For quenches crossing the quantum critical point from the paramagnetic to the ferromagnetic phase, the corresponding rate…

Strongly Correlated Electrons · Physics 2017-02-27 C. Karrasch , D. Schuricht

We calculate the dynamical decoherence rate and susceptibility of a nonequilibrium quantum dot close to the delocalized-to-localized quantum phase transitions. The setup concerns a resonance-level coupled to two spinless fermionic baths…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Chung-Hou Chung

A quantum many-body system undergoes phase transitions of distinct species with variations of local and global parameters. We propose a framework in which a dynamical quantity can change its behavior for quenches across global…

Quantum Physics · Physics 2023-10-27 Leela Ganesh Chandra Lakkaraju , Srijon Ghosh , Debasis Sadhukhan , Aditi Sen De

Quantum theory provides an extensive framework for the description of the equilibrium properties of quantum matter. Yet experiments in quantum simulators have now opened up a route towards generating quantum states beyond this equilibrium…

Statistical Mechanics · Physics 2018-04-24 Markus Heyl

We report on the experimental observation of scaling in the time evolution following a sudden quench into the vicinity of a quantum critical point. The experimental system, a two-component Bose gas with coherent exchange between the…

The series of articles [Ann. Phys. 345, 73 (2014) and 356, 57 (2015)] devoted to excited-state quantum phase transitions (ESQPTs) in systems with $f=2$ degrees of freedom is continued by studying the interacting boson model of nuclear…

Quantum Physics · Physics 2019-06-26 Michal Macek , Pavel Stránský , Amiram Leviatan , Pavel Cejnar

We investigate the Loschmidt echo, the overlap of the initial and final wavefunctions of Luttinger liquids after a spatially inhomogeneous interaction quench. In studying the Luttinger model, we obtain an analytic solution of the bosonic…

Strongly Correlated Electrons · Physics 2015-09-01 Balázs Dóra , Frank Pollmann

We present a characterization of quantum phase transitions in terms of the the overlap function between two ground states obtained for two different values of external parameters. On the examples of the Dicke and XY models, we show that the…

Quantum Physics · Physics 2009-11-11 Paolo Zanardi , Nikola Paunković

We study numerically and analytically the quench dynamics of isolated many-body quantum systems. Using full random matrices from the Gaussian orthogonal ensemble, we obtain analytical expressions for the evolution of the survival…

Statistical Mechanics · Physics 2018-03-07 E. J. Torres-Herrera , Antonio M. García-García , Lea F. Santos

We consider a linear quench from the paramagnetic to ferromagnetic phase in the quantum Ising chain interacting with a static spin environment. Both decoherence from the environment and non-adiabaticity of the evolution near a critical…

Quantum Physics · Physics 2016-09-08 Lukasz Cincio , Jacek Dziarmaga , Jakub Meisner , Marek M. Rams

Using the Standard Map model, this study explores the quantum Loschmidt Echo (LE) decay laws for mixed-type phase spaces, including edge of chaos and chaotic sea regimes. A universal decay law is proposed and numerically verified,…

Quantum Physics · Physics 2025-01-06 Wenjun Shi

Excited-state quantum phase transitions (ESQPTs) strongly influence the spectral properties of collective many-body quantum systems, changing degeneracy patterns in different quantum phases. Level degeneracies, in turn, affect the system's…