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The dynamical quantum phase transition (DQPT) is an important concept in nonequilibrium critical phenomena; however, its relation to the equilibrium quantum phase transition (EQPT) remains obscure. Substantial evidence has suggested that…

Quantum Physics · Physics 2025-08-15 Yumeng Zeng , Shu Chen

Quantum phase transitions in the one-dimensional extended quantum compass model in transverse field are studied by using the Jordan-Wigner transformation. This model is always gapful except at the critical surfaces where the energy gap…

Strongly Correlated Electrons · Physics 2015-05-27 R. Jafari

We study the geometric phase of the ground state in the extended quantum compass model in presence of a transverse field. The exact solution is obtained by using the Jordan-Wigner transformation which maps the Hamiltonian on a fermionic…

Strongly Correlated Electrons · Physics 2014-03-07 R. Jafari

In this work we revisit collapse and revival oscillations in superfluids suddenly quenched by strong local interactions for the case of a one-dimensional Bose-Hubbard model. As the main result we identify the inherent nonequilibrium quantum…

Quantum Gases · Physics 2019-03-27 Mateusz Lacki , Markus Heyl

We study the the ground state fidelity and the ground state Loschmidt echo of a three site interacting XX chain in presence of a staggered field which exhibits special types of quantum phase transitions due to change in the topology of the…

Statistical Mechanics · Physics 2015-06-15 Uma Divakaran

We investigate the out-of-equilibrium dynamics after a quantum quench of the reduced fidelities between the states of a subregion $A$ at different times. Precisely, we consider the fidelity between the time-dependent state of $A$ and its…

Statistical Mechanics · Physics 2026-01-27 Gilles Parez , Vincenzo Alba

We investigate two separate notions of dynamical phase transitions in the two-dimensional nearest-neighbor transverse-field Ising model on a square lattice using matrix product states and a new \textit{hybrid} infinite time-evolving block…

Strongly Correlated Electrons · Physics 2022-04-21 Tomohiro Hashizume , Ian P. McCulloch , Jad C. Halimeh

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 quench dynamics on cross-stitch flat band networks by a sudden change of the inter-cell hopping strength $J$. For quench processes with $J$ changing as $J=0\rightarrow J\neq0$, we give the analytical expression to the Loschmidt…

Quantum Gases · Physics 2019-04-03 Tong Liu , Hao Guo

The recently discovered dynamical phase transition denotes non-analytic behavior in the real time evolution of quantum systems in the thermodynamic limit and has been shown to occur in different systems at zero temperature [Heyl et al.,…

Statistical Mechanics · Physics 2016-03-23 Nils O. Abeling , Stefan Kehrein

The quantum phase transitions provide a paradigm for studying collective quantum phenomena that are a result of competing non-commuting interactions. This paper will study the ground state properties and quantum critical dynamics of the…

Quantum Physics · Physics 2026-01-27 Rudraksh Sharma

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

The Loschmidt echo - the probability of a quantum many-body system to return to its initial state following a dynamical evolution - generally contains key information about a quantum system, relevant across various scientific fields…

We study the Loschmidt echo for a system of electrons interacting through mean-field Coulomb forces. The electron gas is modeled by a self-consistent set of hydrodynamic equations. It is observed that the quantum fidelity drops abruptly…

Quantum Physics · Physics 2009-11-13 G. Manfredi , P. -A. Hervieux

We explore the dynamics of long-range Kitaev chain by varying pairing interaction exponent, $\alpha$. It is well known that distinctive characteristics on the nonequilibrium dynamics of a closed quantum system are closely related to the…

Statistical Mechanics · Physics 2020-08-28 Utkarsh Mishra , R. Jafari , Alireza Akbari

We unveil the role of the long time average of Loschmidt echo in the characterization of nonequilibrium quantum phase transitions by studying sudden quench processes across quantum phase transitions in various quantum systems. While the…

Quantum Physics · Physics 2022-11-08 Bozhen Zhou , Chao Yang , Shu Chen

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

When a quantum system is quenched from its ground state, the time evolution can lead to non-analytic behavior in the return rate at critical times $t_c$. Such dynamical phase transitions (DPT's) can occur, in particular, for quenches…

Statistical Mechanics · Physics 2018-02-07 N. Sedlmayr , M. Fleischhauer , J. Sirker

We construct the finite-temperature dynamical phase diagram of the fully connected transverse-field Ising model from the vantage point of two disparate concepts of dynamical criticality. An analytical derivation of the classical dynamics…

Statistical Mechanics · Physics 2018-05-07 Johannes Lang , Bernhard Frank , Jad C. Halimeh

We inspect signatures of dynamical quantum phase transitions driven by two types of quenches acting on a correlated quantum dot embedded between superconducting and metallic reservoirs. Under stationary conditions the proximity induced…

Mesoscale and Nanoscale Physics · Physics 2022-03-29 Kacper Wrześniewski , Ireneusz Weymann , Nicholas Sedlmayr , Tadeusz Domański