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We apply the generalized Wigner function formalism to detect and characterize a range of quantum phase transitions in several cyclic, finite-length, spin-$\frac{1}{2}$ one-dimensional spin-chain models, viz., the Ising and anisotropic $XY$…

Quantum Physics · Physics 2023-10-03 N. M. Millen , R. P. Rundle , J. H. Samson , Todd Tilma , R. F. Bishop , M. J. Everitt

Inverse problems arise in situations where data is available, but the underlying model is not. It can therefore be necessary to infer the parameters of the latter starting from the former. Statistical mechanics offers a toolbox of…

Statistical Mechanics · Physics 2025-07-04 Stefano Bae , Dario Bocchi , Luca Maria Del Bono , Luca Leuzzi

Coupling a quantum many-body system to a cavity can create bifurcation points in its phase diagram, where the ground state makes sudden switchings between different phases. Here we study the dynamical quantum phase transition of a…

Quantum Physics · Physics 2016-05-10 Lin Tian

We consider magnetic friction between two systems of $q$-state Potts spins which are moving along their boundaries with a relative constant velocity $v$. Due to the interaction between the surface spins there is a permanent energy flow and…

Statistical Mechanics · Physics 2011-04-15 Ferenc Igloi , Michel Pleimling , Loic Turban

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 study phase transition behavior of the Heisenberg model on a distorted triangular lattice with competing interactions. The ground-state phase diagram indicates that underlying symmetry can be changed by tuning parameters. We focus on two…

Statistical Mechanics · Physics 2013-07-16 Ryo Tamura , Shu Tanaka , Naoki Kawashima

We investigate quantum phase transitions in the extended periodic Anderson model, which includes electron correlations within and between itinerant and localized bands. We calculate zero and finite temperature properties of the system using…

Strongly Correlated Electrons · Physics 2009-11-13 Akihisa Koga , Norio Kawakami , Robert Peters , Thomas Pruschke

We propose a nonadiabatic approach to quantum annealing, in which we repeat quantum annealing in nonadiabatic time scales, and collect the final states of many realizations to find the ground state among them. In this way, we replace the…

Statistical Mechanics · Physics 2013-03-26 Hitoshi Katsuda , Hidetoshi Nishimori

Entanglement represents a pure quantum effect involving two or more particles. Spin systems are good candidates for studying this effect and its relation with other collective phenomena ruled by quantum mechanics. While the presence of…

Statistical Mechanics · Physics 2007-05-23 Andrea Fubini , Stephan Haas , Tommaso Roscilde , Valerio Tognetti , Paola Verrucchi

Inhomogeneous quantum annealing (IQA), in which transverse fields are turned off one by one rather than simultaneously, has been proposed as an effective way to avoid the first-order phase transitions that impede conventional quantum…

Quantum Physics · Physics 2025-06-05 Mohammadhossein Dadgar , Christopher L. Baldwin

Phase transitions induced by varying the strength of disorder in the large-q state Potts model in 3d are studied by analytical and numerical methods. By switching on the disorder the transition stays of first order, but different…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. T. Mercaldo , J-Ch. Anglès d'Auriac , F. Iglói

The nature of phase transitions involving the questions why and how phase transitions take place has not been sufficiently touched in the literature. In contrast, the current attention to certain extent still focus on the description of…

Statistical Mechanics · Physics 2023-02-28 Yun-Tong Yang , Hong-Gang Luo

Speeding up adiabatic method has attracted much attention with the wide applications in quantum information processing. In this paper, two kinds of methods, Lewis-Riesenfeld invariant-based inverse engineering and transitionless quantum…

Quantum Physics · Physics 2017-03-24 Feng-Yang Zhang , Wen-Lin Li , Yan Xia

An asymmetric generalization of the zero-temperature q-state Potts model on a one dimensional lattice, with and without boundaries, has been studied. The dynamics of the particle number, and specially the large time behavior of the system…

Condensed Matter · Physics 2009-11-07 N. Majd , A. Aghamohammadi , M. Khorrami

Pushing forward the understanding of general non-unitary dynamics in controlled quantum platforms has been fueled by the recent discovery of measurement-induced phases and phase transitions. So far, these transitions remained largely…

Disordered Systems and Neural Networks · Physics 2022-08-24 M. Buchhold , T. Müller , S. Diehl

We perform a quantum simulation of the Ising model with a transverse field using a collection of three trapped atomic ion spins. By adiabatically manipulating the Hamiltonian, we directly probe the ground state for a wide range of fields…

Quantum Physics · Physics 2011-12-15 E. E. Edwards , S. Korenblit , K. Kim , R. Islam , M. -S. Chang , J. K. Freericks , G. -D. Lin , L. -M. Duan , C. Monroe

Experimental quantum simulators have become large and complex enough that discovering new physics from the huge amount of measurement data can be quite challenging, especially when little theoretical understanding of the simulated model is…

Quantum Physics · Physics 2020-12-08 Alexander Lidiak , Zhexuan Gong

We show that the ground-state quantum correlations of an Ising model can be detected by monitoring the time evolution of a single spin alone, and that the critical point of a quantum phase transition is detected through a maximum of a…

We introduce a one-dimensional model which interpolates between the Ising model and the quantum compass model with frustrated pseudospin interactions $\sigma_i^z\sigma_{i+1}^z$ and $\sigma_i^x\sigma_{i+1}^x$, alternating between even/odd…

Strongly Correlated Electrons · Physics 2007-05-23 Wojciech Brzezicki , Jacek Dziarmaga , Andrzej M. Oles

Phase transitions in spin glass type systems and, more recently, in related computational problems have gained broad interest in disparate arenas. In the current work, we focus on the "community detection" problem when cast in terms of a…

Physics and Society · Physics 2013-11-11 Dandan Hu , Peter Ronhovde , Zohar Nussinov