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We study the universal dynamical relaxation behaviors of a quantum XY chain following a quench, paying special attention to the case that the prequenched Hamiltonian, or the postquenched Hamiltonian, or both of them are at critical points…

统计力学 · 物理学 2023-08-02 Yin-Tao Zou , Chengxiang Ding

We investigate the critical behavior of a spin chain coupled to bosonic baths characterized by a spectral density proportional to $\omega^s$, with $s>1$. Varying $s$ changes the effective dimension $d_\text{eff} = d + z$ of the system,…

统计力学 · 物理学 2012-06-13 Iver Bakken Sperstad , Einar B. Stiansen , Asle Sudbø

Long lived quasi-stationary states (QSSs) are a signature characteristic of long-range interacting systems both in the classical and in the quantum realms. Often, they emerge after a sudden quench of the Hamiltonian internal parameters and…

量子物理 · 物理学 2021-08-20 Nicolò Defenu

We study the critical properties of finite-dimensional dissipative quantum spin systems with uniform ferromagnetic interactions. Starting from the transverse-field Ising model coupled to a bath of harmonic oscillators with Ohmic spectral…

量子物理 · 物理学 2016-10-06 Kabuki Takada , Hidetoshi Nishimori

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…

统计力学 · 物理学 2018-04-24 Sourav Bhattacharjee , Amit Dutta

We study quantum phase transitions in transverse-field Ising spin chains in which the couplings are random but hyperuniform, in the sense that their large-scale fluctuations are suppressed. We construct a one-parameter family of disorder…

统计力学 · 物理学 2019-10-23 Philip J. D. Crowley , C. R. Laumann , Sarang Gopalakrishnan

The notion of a dynamical quantum phase transition (DQPT) was recently introduced in [Heyl et al., Phys. Rev. Lett. 110, 135704 (2013)] as the non-analytic behavior of the Loschmidt echo at critical times in the thermodynamic limit. In this…

统计力学 · 物理学 2015-09-04 Markus Schmitt , Stefan Kehrein

The competition between scrambling unitary evolution and projective measurements leads to a phase transition in the dynamics of quantum entanglement. Here, we demonstrate that the nature of this transition is fundamentally altered by the…

量子物理 · 物理学 2022-03-25 Maxwell Block , Yimu Bao , Soonwon Choi , Ehud Altman , Norman Yao

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…

量子物理 · 物理学 2020-06-16 Stav Haldar , Saptarshi Roy , Titas Chanda , Aditi Sen De , Ujjwal Sen

We study quantum phase transitions in Heisenberg antiferromagnetic chains with a staggered power-law decaying long-range interactions. Employing the density-matrix renormalization group (DMRG) algorithm and the fidelity susceptibility as…

强关联电子 · 物理学 2022-03-22 Jie Ren , Zhao Wang , Weixia Chen , Wen-Long You

The dynamical structure factor of the transverse field Ising model (TFIM) shows universal power-law divergence at its quantum critical point, signatures of which have been arguably observed in inelastic neutron scattering studies of quantum…

强关联电子 · 物理学 2025-06-24 Uliana E. Khodaeva , Dmitry L. Kovrizhin , Johannes Knolle

In recent years, static and dynamic properties of non-$180^\circ$ domain walls in magnetic materials have attracted a great deal of interest. In this paper, spin-reorientation critical dynamics in the two-dimensional XY model is…

统计力学 · 物理学 2019-08-27 X. W. Lei , N. J. Zhou , Y. Y. He , B. Zheng

We study conventional and out-of-time-ordered correlators (OTOCs) for a wide variety of transverse field Ising chains: classical and quantum, clean and disordered, and integrable and generic. The setting we consider is that of a quantum…

强关联电子 · 物理学 2025-10-29 Philippe Suchsland , Benoît Douçot , Vedika Khemani , Roderich Moessner

We study the slow quenching dynamics (characterized by an inverse rate, $\tau^{-1}$) of a one-dimensional transverse Ising chain with nearest neighbor ferromagentic interactions across the quantum critical point (QCP) and analyze the…

统计力学 · 物理学 2016-06-08 Shraddha Sharma , Uma Divakaran , Anatoli Polkovnikov , Amit Dutta

Exact solutions for non-Hermitian quantum many-body systems are rare but may provide valuable insights into the interplay between Hermitian and non-Hermitian components. We report our investigation of a non-Hermitian variant of a p-wave…

量子物理 · 物理学 2023-09-26 Y. B. Shi , Z. Song

We study equilibrium as well as dynamical properties of the finite-size fully connected Ising model with a transverse field at the zero temperature. In relation to the equilibrium, we present approximate ground and first excited states that…

统计力学 · 物理学 2021-08-06 Arun Sehrawat , Chirag Srivastava , Ujjwal Sen

A superconducting wire described by a p-wave pairing and a Kitaev Hamiltonian exhibits Majorana fermions at its edges and is topologically protected by symmetry. We consider two Kitaev wires (chains) coupled by a Coulomb type interaction…

强关联电子 · 物理学 2016-05-04 Loïc Herviou , Christophe Mora , Karyn Le Hur

For the quantum phase transition in the transverse-field Ising chain, Kramers-Wannier duality not only protects its critical properties but also pinpoints the location of the phase transition. Its role in out-of-equilibrium, monitored…

量子物理 · 物理学 2026-05-26 Finn Eckstein , Harald Schmid , Quinten Preiss , Simon Trebst , Felix von Oppen , Guo-Yi Zhu

A crossover between different power-law relaxation behaviors of many-body periodically driven integrable systems has come to light in recent years. We demonstrate using integrable quantum systems, that similar kinds of dynamical transitions…

统计力学 · 物理学 2022-02-03 Aamir Ahmad Makki , Souvik Bandyopadhyay , Somnath Maity , Amit Dutta

The quantum renormalization group method is applied to study the quantum criticality and entanglement entropy of the ground state of the Ising chain in the presence of antisymmetric anisotropic couplings and alternating exchange…

强关联电子 · 物理学 2012-08-09 Xiang Hao