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Non-Hermitian rotation-time reversal (RT)-symmetric spin models possess two distinct phases, the unbroken phase in which the entire spectrum is real and the broken phase which contains complex eigenspectra, thereby indicating a transition…

In this work we investigate the equilibration dynamics after a sudden Hamiltonian quench of a quantum spin system initially prepared in a thermal state. To characterize the equilibration we evaluate the Loschmidt echo, a global measure for…

Quantum Physics · Physics 2011-09-13 N. Tobias Jacobson , Lorenzo Campos Venuti , Paolo Zanardi

Particle-wave duality has allowed physicists to establish atomic interferometers as celebrated complements to their optical counterparts in a broad range of quantum devices. However, interactions naturally lead to decoherence and have been…

Quantum Gases · Physics 2020-04-15 Changyuan Lyu , Qi Zhou

The correlated non-equilibrium quantum dynamics following a multiple interaction quench protocol for few-bosonic ensembles confined in finite optical lattices is investigated. The quenches give rise to an interwell tunneling and excite the…

Quantum Physics · Physics 2017-10-31 J. Neuhaus-Steinmetz , S. I. Mistakidis , P. Schmelcher

In Ref. Ansari et al., dynamical quantum phase transitions (DQPTs) -- non-analyticities in the Loschmidt return rate at critical times -- are investigated in the presence of noise for a two-band model. The authors report that DQPTs persist…

Statistical Mechanics · Physics 2025-11-21 J. Sirker

We examine the dynamics after a sudden quench in the magnetic field of the Lipkin-Meshkov-Glick model. Starting from the groundstate and by employing the time-dependent fidelity, we see manifestly different dynamics are present if the…

Quantum Physics · Physics 2016-11-07 Steve Campbell

We show that non-Hermitian biorthogonal many-body phase transitions can be characterized by the enhanced decay of Loschmidt echo. The quantum criticality is numerically investigated in a non-Hermitian transverse field Ising model by…

Strongly Correlated Electrons · Physics 2023-01-13 Jia-Chen Tang , Su-Peng Kou , Gaoyong Sun

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

Dynamical phase transitions (DPT) occur after quenching some global parameters in quantum systems and are signalled by the non-analytical time evolution of the dynamical free energy, which is calculated from the Loschmidt overlap between…

Strongly Correlated Electrons · Physics 2014-04-23 Szabolcs Vajna , Balázs Dóra

The elusive nature of localized integrals of motion (or l-bits) in disordered quantum systems lies at the core of some of their most prominent features, i.e. emergent integrability and lack of thermalization. Here, we study the quench…

Disordered Systems and Neural Networks · Physics 2021-06-18 Leonardo Benini , Piero Naldesi , Rudolf A. Römer , Tommaso Roscilde

Dynamical quantum phase transitions occur when a dynamical free energy becomes non-analytic at critical \emph{times}. They have been shown to exist in, among other systems, topological insulators and superconductors. Additionally in both…

Statistical Mechanics · Physics 2025-08-18 Tomasz Masłowski , Jesko Sirker , Nicholas Sedlmayr

We investigate the dynamical quantum phase transition (DQPT) in the multi-band Bloch Hamiltonian of the one-dimensional periodic Kitaev model, focusing on quenches from a Bloch band. By analyzing the dynamical free energy and Pancharatnam…

Statistical Mechanics · Physics 2024-11-19 Kaiyuan Cao , Hao Guo , Guangwen Yang

We consider the computation of the Loschmidt echo after quantum quenches in the interacting $XXZ$ Heisenberg spin chain both for real and imaginary times. We study two-site product initial states, focusing in particular on the N\'eel and…

Statistical Mechanics · Physics 2017-02-17 Lorenzo Piroli , Balázs Pozsgay , Eric Vernier

Dynamical phase transitions extend the notion of criticality to non-stationary settings and are characterized by sudden changes in the macroscopic properties of time-evolving quantum systems. Investigations of dynamical phase transitions…

Strongly Correlated Electrons · Physics 2021-11-04 Sebastiano Peotta , Fredrik Brange , Aydin Deger , Teemu Ojanen , Christian Flindt

Simulating the real-time evolution of quantum spin systems far out of equilibrium poses a major theoretical challenge, especially in more than one dimension. We experimentally explore the dynamics of a two-dimensional Ising spin system with…

We investigate the Loschmidt amplitude and dynamical quantum phase transitions in multiband one dimensional topological insulators. For this purpose we introduce a new solvable multiband model based on the Su-Schrieffer-Heeger model,…

Mesoscale and Nanoscale Physics · Physics 2020-01-09 Tomasz Masłowski , Nicholas Sedlmayr

We study the prethermal dynamics of an interacting quantum field theory with a N-component order parameter and $O(N)$ symmetry, suddenly quenched in the vicinity of a dynamical critical point. Depending on the initial conditions, the…

Statistical Mechanics · Physics 2017-04-05 Alessio Chiocchetta , Andrea Gambassi , Sebastian Diehl , Jamir Marino

We study the emergence of dynamical quantum phase transitions (DQPTs) in a half-filled one-dimensional lattice described by the extended Fermi-Hubbard model, based on tensor network simulations. Considering different initial states, namely…

Strongly Correlated Electrons · Physics 2022-04-29 Juan José Mendoza-Arenas

Quantum phase transitions occur at zero temperature when some non-thermal control-parameter like pressure or chemical composition is changed. They are driven by quantum rather than thermal fluctuations. In this review we first give a…

Statistical Mechanics · Physics 2017-09-27 Thomas Vojta

We investigate the interplay of superradiant phase transition (SPT) and energy band physics in an extended Dicke-Hubbard lattice whose unit cell consists of a Dicke model coupled to an atomless cavity. We found in such a periodic lattice…

Quantum Physics · Physics 2020-09-30 Gui-Lei Zhu , Hamidreza Ramezani , Clive Emary , Jin-Hua Gao , Ying Wu , Xin-You Lü
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