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The dissipative phase transitions in the open transverse and longitudinal Dicke-Ising model (DIM), which incorporates nearest-neighbor Ising-type spin interactions into the Dicke framework, are investigated within a mean-field approach and…

Quantum Physics · Physics 2026-02-11 Jun-Ling Wang , Jiong Li , Qing-Hu Chen

Spin-orbit coupling is an essential mechanism underlying quantum phenomena such as the spin Hall effect and topological insulators. It has been widely studied in well-isolated Hermitian systems, but much less is known about the role…

Quantum Gases · Physics 2021-12-17 Zejian Ren , Dong Liu , Entong Zhao , Chengdong He , Ka Kwan Pak , Jensen Li , Gyu-Boong Jo

The competition between interactions and dissipative processes in a quantum many-body system can drive phase transitions of different order. Exploiting a combination of cluster methods and quantum trajectories, we show how the systematic…

Statistical Mechanics · Physics 2018-12-19 Jiasen Jin , Alberto Biella , Oscar Viyuela , Cristiano Ciuti , Rosario Fazio , Davide Rossini

We consider a one-dimensional Ising model in a transverse magnetic field coupled to a dissipative heat bath. The phase diagram and the critical exponents are determined from extensive Monte Carlo simulations. It is shown that the character…

Statistical Mechanics · Physics 2007-05-23 Philipp Werner , Klaus Voelker , Matthias Troyer , Sudip Chakravarty

Spin chains with open boundaries, such as the transverse field Ising model, can display coherence times for edge spins that diverge with the system size as a consequence of almost conserved operators, the so-called strong zero modes. Here,…

Statistical Mechanics · Physics 2018-10-03 Loredana M. Vasiloiu , Federico Carollo , Juan P. Garrahan

We propose a quantum optical implementation of a class of dissipative spin systems, including the XXZ and Ising model, with ultra-cold atoms in optical lattices. Employing the motional degree of freedom of the atoms and detuned Raman…

Quantum Physics · Physics 2013-02-18 Heike Schwager , J. Ignacio Cirac , Géza Giedke

Open driven quantum systems have defined a powerful paradigm of nonequilibrium phases and phase transitions; however, quantum phase transitions are generically not expected in this setting due to the decohering effect of dissipation. In…

Quantum Gases · Physics 2026-02-18 Mostafa Ali , Naushad A. Kamar , Alireza Seif , Mohammad Maghrebi

Systems with nonreciprocal interactions generically display time-dependent states. These are routinely observed in finite systems, from neuroscience to active matter, in which globally ordered oscillations exist. However, the stability of…

Statistical Mechanics · Physics 2025-04-01 Yael Avni , Michel Fruchart , David Martin , Daniel Seara , Vincenzo Vitelli

We study a cluster Ising model with non-Hermitian external field which can be exactly solved in the language of free fermions. By investigating the second derivative of energy density and fidelity, the possible new critical points are…

Statistical Mechanics · Physics 2022-05-31 Zheng-Xin Guo , Xue-Jia Yu , Xi-Dan Hu , Zhi Li

The ground-state degeneracy of the quantum spin system is a characteristic of nontrivial topology, when it is gapped and robust against disordered perturbation. The corresponding quantum phase transition (QPT) is usually driven by a real…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 K. L. Zhang , Z. Song

We consider the evolution of two-time correlations in the quantum XXZ spin-chain in contact with an environment causing dephasing. Extending quasi-exact time-dependent matrix product state techniques to consider the dynamics of two-time…

Strongly Correlated Electrons · Physics 2019-11-06 Stefan Wolff , Jean-Sebastien Bernier , Dario Poletti , Ameneh Sheikhan , Corinna Kollath

In this paper, we study the driven-dissipative p-spin models for $p\geq 2$. In thermodynamics limit, the equation of motion is derived by using a semiclassical approach. The long-time asymptotic states are obtained analytically, which…

Quantum Gases · Physics 2021-01-13 Pei Wang , Rosario Fazio

We consider two different collective spin systems subjected to strong dissipation -- on the same scale as interaction strengths and external fields -- and show that either continuous or discontinuous dissipative quantum phase transitions…

Quantum Physics · Physics 2008-09-23 S. Morrison , A. S. Parkins

We consider a prototypical system of an infinite range transverse field Ising model coupled to a bosonic bath. By integrating out the bosonic degrees, an effective anisotropic Heisenberg model is obtained for the spin system. The phase…

Statistical Mechanics · Physics 2011-04-29 Subhasis Sinha , Sushanta Dattagupta

We developed a systematic non-perturbative method base on Dyson-Schwinger theory and the $\Phi$-derivable theory for Ising model at broken phase. Based on these methods, we obtain critical temperature and spin spin correlation beyond mean…

Statistical Mechanics · Physics 2021-06-10 Feng Liu , Zhenhao Fan , Zhipeng Sun , Dingping Li , Xuzong Chen

Nonreciprocal interactions in many-body systems lead to time-dependent states, commonly observed in biological, chemical, and ecological systems. The stability of these states in the thermodynamic limit and the critical behavior of the…

Statistical Mechanics · Physics 2025-04-01 Yael Avni , Michel Fruchart , David Martin , Daniel Seara , Vincenzo Vitelli

We investigate the effect of non-Hermitian Gamma interaction on the phase transitions and magnetic correlations for the transverse field Ising chain. We demonstrate that apart from the gapped ferromagnetic and paramagnetic phases, there is…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Yu-Hong Yan , Ran Wang , Kun-Liang Zhang

We report the new exact results on one of the best studied models in statistical physics: the classical antiferromagnetic Ising chain in a magnetic field. We show that the model possesses an infinite cascade of thermal phase transitions…

Statistical Mechanics · Physics 2017-12-19 P. N. Timonin , Gennady Y. Chitov

We explore nonadiabatic quantum phase transitions in an Ising spin chain with a linearly time-dependent transverse field and two different spins per unit cell. Such a spin system passes through critical points with gapless excitations,…

Statistical Mechanics · Physics 2021-02-23 Bin Yan , Vladimir Y. Chernyak , Wojciech H. Zurek , Nikolai A. Sinitsyn

We consider the non-equilibrium dynamics of a driven dissipative spin chain with chiral coupling to a 1D bosonic bath, and its atomic implementation with a two-species mixture of cold quantum gases. The reservoir is represented by a…

Quantum Physics · Physics 2014-12-09 Tomás Ramos , Hannes Pichler , Andrew J. Daley , Peter Zoller
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