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The scaling of the entanglement entropy at a quantum critical point allows us to extract universal properties of the state, e.g., the central charge of a conformal field theory. With the rapid improvement of noisy intermediate-scale quantum…

Strongly Correlated Electrons · Physics 2022-08-24 Bernhard Jobst , Adam Smith , Frank Pollmann

The equilibrium ensemble approach to disordered systems is used to investigate the critical behaviour of the two dimensional Ising model in presence of quenched random site dilution. The numerical transfer matrix technique in semi- infinite…

Statistical Mechanics · Physics 2009-10-31 Giorgio Mazzeo , Reimer Kuehn

I study the properties of the quantum critical point of the transverse-field quantum Ising model on various fractal lattices such as the Sierpi\'nski carpet, Sierpi\'nski gasket, and Sierpi\'nski tetrahedron. Using a continuous-time quantum…

Statistical Mechanics · Physics 2015-06-22 Hangmo Yi

We investigate the static and dynamic critical behaviour of a uniformly driven bilayer Ising lattice gas at half filling. Depending on the strength of the interlayer coupling J, phase separation occurs across or within the two layers. The…

Statistical Mechanics · Physics 2009-11-07 U. C. Tauber , B. Schmittmann , R. K. P. Zia

Quantum phase transitions (QPTs) in coherent Ising machines (CIMs) are studied via a spectral mapping between the one-dimensional XY spin model and a network of degenerate optical parametric oscillators (DOPOs). This exact correspondence…

Quantum Physics · Physics 2025-12-30 Jing-Yi-Ran Jin , Shuang-Quan Ma , Qing Ai

We study the quantum dynamics of many-body arrays of two-level atoms in a driven cavity subject to collective decay and interactions mediated by the cavity field. We work in the bad cavity limit accessible, for example, using long-lived…

Quantum Physics · Physics 2019-05-22 Diego Barberena , Robert J. Lewis-Swan , James K. Thompson , Ana Maria Rey

We analyze the critical quantum fluctuations in a coherently driven planar optical parametric oscillator. We show that the presence of transverse modes combined with quantum fluctuations changes the behavior of the `quantum image' critical…

Quantum Physics · Physics 2007-05-23 Peter D. Drummond , Kaled Dechoum

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…

Strongly Correlated Electrons · Physics 2012-08-09 Xiang Hao

It is still a debated issue whether all critical active particles belong to the same universality class. Here we numerically study the critical behavior of quorum sensing active particles that represents the archetypal model for…

Statistical Mechanics · Physics 2022-10-21 Nicoletta Gnan , Claudio Maggi

Based on a high temperature expansion, we compute the two-point correlation function and the critical line of an Ising lattice gas driven into a non-equilibrium steady state by a uniform bias E. The lowest nontrivial order already…

Statistical Mechanics · Physics 2007-05-23 B. Schmittmann , R. K. P. Zia

We investigate a hybrid electro-optomechanical system that allows us to obtain controllable strong Kerr nonlinearities in the weak-coupling regime. We show that when the controllable electromechanical subsystem is close to its quantum…

Quantum Physics · Physics 2013-10-25 Xin-You Lü , Wei-Min Zhang , Sahel Ashhab , Ying Wu , Franco Nori

We investigate the dynamical properties of low dimensional systems, driven by external noise sources. Specifically we consider a resistively shunted Josephson junction and a one dimensional quantum liquid in a commensurate lattice…

Quantum Gases · Physics 2012-07-23 Emanuele G. Dalla Torre , Eugene Demler , Thierry Giamarchi , Ehud Altman

We study in detail the dynamic scaling of the three-dimensional (3D) Ising model driven through its critical point on finite-size lattices and show that a series of new critical exponents are needed to account for the anomalous scalings…

Statistical Mechanics · Physics 2021-07-22 Weilun Yuan , Fan Zhong

Employing the self-learning quantum Monte Carlo algorithm, we investigate the frustrated transverse-field triangle-lattice Ising model coupled to a Fermi surface. Without fermions, the spin degrees of freedom undergoes a second-order…

Strongly Correlated Electrons · Physics 2018-07-17 Zi Hong Liu , Xiao Yan Xu , Yang Qi , Kai Sun , Zi Yang Meng

In this review, we study some aspects of the non-equilibrium dynamics of quantum systems. In particular, we consider the effect of varying a parameter in the Hamiltonian of a quantum system which takes it across a quantum critical point or…

Statistical Mechanics · Physics 2015-05-14 Shreyoshi Mondal , Diptiman Sen , K. Sengupta

The universality class, even the order of the transition, of the two-dimensional Ising model depends on the range and the symmetry of the interactions (Onsager model, Baxter-Wu model, Turban model, etc.), but the critical temperature is…

Statistical Mechanics · Physics 2009-11-13 Laszlo Kornyei , Michel Pleimling , Ferenc Igloi

Critical phenomena of quantum systems offer a promising strategy to improve measurement precision. So far, many criticality-enhanced quantum metrological schemes have been proposed by using the adiabatically evolved photonic states of…

Quantum Physics · Physics 2026-03-31 Ken Chen , Jia-Hao Lv , Wen Ning , Zhen-Biao Yang , Shi-Biao Zheng

We consider a model of monitored quantum dynamics with quenched spatial randomness: specifically, random quantum circuits with spatially varying measurement rates. These circuits undergo a measurement-induced phase transition (MIPT) in…

Disordered Systems and Neural Networks · Physics 2023-11-10 Aidan Zabalo , Justin H. Wilson , Michael J. Gullans , Romain Vasseur , Sarang Gopalakrishnan , David A. Huse , J. H. Pixley

A grand challenge in many-body quantum physics is to explain the apparent connection between quantum criticality and high-temperature superconductivity in the cuprates and similar systems, such as the iron pnictides and chalcogenides. Here…

Superconductivity · Physics 2012-05-30 Josef Ashkenazi , Neil F. Johnson

The coherent quantum evolution of a one-dimensional many-particle system after sweeping the Hamiltonian through a critical point is studied using a generalized quantum Ising model containing both integrable and non-integrable regimes. It is…

Strongly Correlated Electrons · Physics 2015-05-13 Frank Pollmann , Subroto Mukerjee , Andrew G. Green , Joel E. Moore
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