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We introduce a variational implementation of cluster perturbation theory (CPT) to address the dynamics of spin systems driven out of equilibrium. We benchmark the method with the quantum Ising model subject to a sudden quench of the…

Strongly Correlated Electrons · Physics 2016-12-07 Mohammad Zhian Asadzadeh , Michele Fabrizio , Enrico Arrigoni

We study the phase diagram of a class of models in which a generalized cluster interaction can be quenched by Ising exchange interaction and external magnetic field. We characterize the various phases through winding numbers. They may be…

Statistical Mechanics · Physics 2017-09-06 Wei Nie , Feng Mei , Luigi Amico , Leong Chuan Kwek

Spin chains with two Ising symmetries are the Jordan-Wigner duals of one-dimensional interacting fermions with particle-hole and time-reversal symmetry. From earlier works on Majorana chains, it is known that this class of models has 10…

Strongly Correlated Electrons · Physics 2019-06-28 Bat-el Friedman , Atanu Rajak , Emanuele G. Dalla Torre

We present a family of many-body models which are exactly solvable analytically. The models are an extended n-body interaction Lipkin-Meshkov-Glick model which considers spin-flip terms which are associated with the interaction of an…

Quantum Physics · Physics 2008-11-26 I. Fuentes-Schuller , P. Barberis-Blostein

Spontaneous symmetry breaking occurs in various equilibrium and nonequilibrium systems, where phase transitions are typically marked by a single critical point that separates ordered and disordered regimes. We reveal a novel phenomenon in…

We demonstrate that two toric code layers on the square lattice coupled by an Ising interaction display two distinct phases with intrinsic topological order. The second-order quantum phase transition between the weakly-coupled…

Strongly Correlated Electrons · Physics 2021-01-04 R. Wiedmann , L. Lenke , M. R. Walther , M. Mühlhauser , K. P. Schmidt

We explore the phase diagram of Ising spins on one-dimensional chains which criss-cross in two perpendicular directions and which are connected by interchain couplings. This system is of interest as a simpler, classical analog of a quantum…

Statistical Mechanics · Physics 2017-10-18 T. Cary , R. R. P. Singh , R. T. Scalettar

Motivated by recent experiments on quasi-1D vanadium oxides, we study quantum phase transitions in a one-dimensional spin-orbital model describing a Haldane chain and a classical Ising chain locally coupled by the relativistic spin-orbit…

Strongly Correlated Electrons · Physics 2011-06-07 Alexander Nersesyan , Gia-Wei Chern , Natalia B. Perkins

We show that the standard 1+1d $\mathbb{Z}_2\times \mathbb{Z}_2$ cluster model has a non-invertible global symmetry, described by the fusion category Rep(D$_8$). Therefore, the cluster state is not only a $\mathbb{Z}_2\times \mathbb{Z}_2$…

Strongly Correlated Electrons · Physics 2025-11-11 Sahand Seifnashri , Shu-Heng Shao

We consider the integrable family of symmetric boundary-driven interacting particle systems that arise from the non-compact XXX Heisenberg model in one dimension with open boundaries. In contrast to the well-known symmetric exclusion…

Mathematical Physics · Physics 2024-05-27 Rouven Frassek , Cristian Giardinà

We present a numerical study of a quantum phase transition from a spin-polarized to a topologically ordered phase in a system of spin-1/2 particles on a torus. We demonstrate that this non-symmetry-breaking topological quantum phase…

Quantum Physics · Physics 2008-06-07 A. Hamma , W. Zhang , S. Haas , D. A. Lidar

Non-equilibrium dynamics of many-body systems is important in many branches of science, such as condensed matter, quantum chemistry, and ultracold atoms. Here we report the experimental observation of a phase transition of the quantum…

Quantum Physics · Physics 2015-09-24 Gonzalo A. Alvarez , Dieter Suter , Robin Kaiser

We demonstrate that multipartite entanglement, witnessed by the quantum Fisher information (QFI), can characterize topological quantum phase transitions in the spin-$\frac{1}{2}$ toric code model on a square lattice with external fields. We…

Quantum Physics · Physics 2022-06-14 Yu-Ran Zhang , Yu Zeng , Tao Liu , Heng Fan , J. Q. You , Franco Nori

We introduce a family of SO($n$)-symmetric spin chains which generalize the transverse-field Ising chain for $n=1$. These spin chains are defined with Gamma matrices and can be exactly solved by mapping to $n$ species of itinerant Majorana…

Strongly Correlated Electrons · Physics 2024-11-12 Sreejith Chulliparambil , Hua-Chen Zhang , Hong-Hao Tu

A bipartite entanglement between two nearest-neighbor Heisenberg spins of a spin-1/2 Ising-Heisenberg model on a triangulated Husimi lattice is quantified using a concurrence. It is shown that the concurrence equals zero in a classical…

Statistical Mechanics · Physics 2020-07-06 Cesur Ekiz , Jozef Strecka

A discrete time crystal is a recently discovered non-equilibrium phase of matter that has been shown to exist in disordered, periodically driven Ising spin chains. In this phase, if the system is initially prepared in one of a certain class…

Quantum Physics · Physics 2019-01-30 Edwin Barnes , John M. Nichol , Sophia E. Economou

Many-body interactions give rise to the appearance of exotic phases in Hermitian physics. Despite their importance, many-body effects remain an open problem in non-Hermitian physics due to the complexity of treating many-body interactions.…

Quantum Physics · Physics 2023-06-05 Sharareh Sayyad , Jose L. Lado

Topological phases have greatly improved our understanding of modern conception of phases of matter that go beyond the paradigm of symmetry breaking and are not described by local order parameters. Instead, characterization of topological…

Quantum Physics · Physics 2022-08-12 Zhihuang Luo , Wenzhao Zhang , Xinfang Nie , Dawei Lu

In this paper, we study the bipartite entanglement of spin coherent states in the case of pure and mixed states. By a proper choice of the subsystem spins, the entanglement for large class of quantum systems is investigated. We generalize…

Quantum Physics · Physics 2015-06-12 K. Berrada , A. Mohammadzade , S. Abdel-Khalek , H. Eleuch , S. Salimi

The periodically driven quantum Ising chain has recently attracted a large attention in the context of Floquet engineering. In addition to the common paramagnet and ferromagnet, this driven model can give rise to new topological phases. In…

Quantum Gases · Physics 2017-07-26 Angelo Russomanno , Bat-el Friedman , Emanuele G. Dalla Torre