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We investigate the fate of dissipative phase transitions in quantum many-body systems when the individual constituents are qudits ($d$-level systems) instead of qubits. As an example system, we employ a permutation-invariant $XY$ model of…

Quantum Physics · Physics 2024-12-16 Lukas Pausch , François Damanet , Thierry Bastin , John Martin

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

We analytically and numerically study the Loschmidt echo and the dynamical order parameters in a spin chain with a deconfined phase transition between a dimerized state and a ferromagnetic phase. For quenches from a dimerized state to a…

Statistical Mechanics · Physics 2020-09-10 Gaoyong Sun , Bo-Bo Wei

We study the quantum phase transitions (QPTs) in extended Kitaev chains with long-range ($1/r^{\alpha}$) hopping. Formally, there are two QPT points at $\mu=\mu_0(\alpha)$ and $\mu_\pi(\alpha)$ ($\mu$ is the chemical potential) which…

Statistical Mechanics · Physics 2025-05-14 Hao Fu , Peiqing Tong

We investigate the behavior of quantum coherence of the ground states of 2D Heisenberg XY model and 2D Ising model with transverse field on square lattices, by using the method of Quantum Renormalization Group (QRG). We show that the…

Quantum Physics · Physics 2022-08-02 Narjes Taghadomi , Azam Mani , Ali Bakouei

We study a 1D-Quantum Ising Model in transverse field driven out of equilibrium by performing a composite quantum quench to deduce the asymptotic properties of the transverse magnetization stationary state via the analysis of the spectral…

Statistical Mechanics · Physics 2019-11-06 Giulia Piccitto , Alessandro Silva

We provide a new perspective on quantum dynamical phase transitions (DPTs) by explaining their origin in terms of caustics that form in the Fock space representation of the many-body state over time, using the fully connected transverse…

Quantum Physics · Physics 2024-10-22 Valentin Link , Walter T. Strunz , D. H. J. O'Dell

We study the dynamical quantum phase transition(DQPT) of the Bose-Hubbard model utilizing recently developed Loschmidt cumulants method. We determine the complex Loschmidt zeros of the Loschmidt amplitude analogous to the Lee-Yang zeros of…

Quantum Gases · Physics 2023-08-04 Pengju Zhao , Jingxin Sun , Shengjie Jin , Zhongshu Hu , Dingping Li , Xiong-Jun Liu , Xuzong Chen

An analysis is presented of the phase transition of the quantum Ising model with transverse field on the d-dimensional hypercubic lattice. It is shown that there is a unique sharp transition. The value of the critical point is calculated…

Mathematical Physics · Physics 2015-05-13 J. E. Björnberg , G. R. Grimmett

A conventional quantum phase transition (QPT) can be accessed by varying a real parameter at absolute zero temperature. Motivated by the discovery of the pseudo-Hermiticity of non-Hermitian systems, we explore the QPT in non-Hermitian…

Quantum Physics · Physics 2014-07-16 C. Li , G. Zhang , X. Z. Zhang , Z. Song

I investigate the quantum phase transition of the transverse-field quantum Ising model in which nearest neighbors are defined according to the connectivity of scale-free networks. Using a continuous-time quantum Monte Carlo simulation…

Statistical Mechanics · Physics 2015-06-23 Hangmo Yi

By constructing an exactly solvable spin model, we investigate the critical behaviors of transverse field Ising chains interpolated with cluster interactions, which exhibit various types of topologically distinct Ising critical points.…

Strongly Correlated Electrons · Physics 2024-07-12 Xue-Jia Yu , Wei-Lin Li

We study the quantum phase diagram and the onset of quantum critical phenomena in a generalized Dicke model that includes collective qubit-qubit interactions. By employing semiclassical techniques, we analyze the corresponding classical…

Quantum Physics · Physics 2022-09-21 Ricardo Herrera Romero , Miguel Angel Bastarrachea-Magnani , Román Linares

We propose a new computational method of the Loschmidt amplitude in a generic spin system on the basis of the complex semiclassical analysis on the spin-coherent state path integral. We demonstrate how the dynamical transitions emerge in…

Statistical Mechanics · Physics 2017-06-01 Tomoyuki Obuchi , Sei Suzuki , Kazutaka Takahashi

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

In this paper, we have studied the one-dimensional commensurate quantum Frenkel-Kontorova model by a density-matrix renormalization group (DMRG) algorithm. The focus has been on its properties of the entanglement, the coordinate…

Statistical Mechanics · Physics 2015-06-19 Yongjun Ma , Jiaxiang Wang , Xinye Xu , Qi Wei , Sabre Kais

Using local quantum fidelity distances, we study the dynamical quantum phase transition in integrable and non-integrable one-dimensional Ising chains. Unlike the Loschmidt echo, the standard measure for distinguishing between two quantum…

Statistical Mechanics · Physics 2024-08-09 Ruchira V Bhat , Soumya Bera

In recent years, dynamical phase transitions and out-of-equilibrium criticality have been at the forefront of ultracold gases and condensed matter research. Whereas universality and scaling are established topics in equilibrium quantum…

Quantum Gases · Physics 2021-09-29 Jad C. Halimeh , Maarten Van Damme , Lingzhen Guo , Johannes Lang , Philipp Hauke

Dynamical phase transitions are defined through non-analyticities of the survival probability of an out-of-equilibrium time-evolving state at certain critical times. They ensue from zeros of the corresponding survival amplitude. By…

Statistical Mechanics · Physics 2023-03-17 Ángel L. Corps , Pavel Stránský , Pavel Cejnar

The dynamical quantum phase transitions (DQPTs) and the associated winding numbers have been extensively studied in the context Hermitian system. We consider the non-Hermitian analogue of $p$-wave superconductor, supporting Hermitian…

Statistical Mechanics · Physics 2022-10-21 Debashish Mondal , Tanay Nag