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A quantum phase transition (QPT) between distinct ground states of matter is a wide-spread phenomenon in nature, yet there are only a few experimentally accessible systems where the microscopic mechanism of the transition can be tested and…

Superconductivity · Physics 2018-09-06 Hyunjeong Kim , Fédéric Gay , Adrian Del Maestro , Benjamin Sacépé , Andrey Rogachev

We investigate the quantum dynamics of many-body systems subject to local, i.e. restricted to a limited space region, time-dependent perturbations. If the perturbation drives the system across a quantum transition, an off-equilibrium…

Statistical Mechanics · Physics 2018-03-21 Andrea Pelissetto , Davide Rossini , Ettore Vicari

We consider the scaling behavior of thermodynamic quantities in the one-dimensional transverse-field Ising model near its quantum critical point (QCP). Our study has been motivated by the question about the thermodynamical signatures of…

Strongly Correlated Electrons · Physics 2018-06-20 Jianda Wu , Lijun Zhu , Qimiao Si

We study the effects of measurements, performed with a finite density in space, on the ground state of the one-dimensional transverse-field Ising model at criticality. Local degrees of freedom in critical states exhibit long-range…

Statistical Mechanics · Physics 2023-06-29 Zack Weinstein , Rohith Sajith , Ehud Altman , Samuel J. Garratt

Rydberg atom arrays promise high-fidelity quantum simulations of critical phenomena with flexible geometries. Yet experimental realizations inevitably suffer from disorder due to random displacements of atoms, leading to departures from the…

Disordered Systems and Neural Networks · Physics 2025-12-02 Xingyu Li , Shuyan Zhou , Xue Chen , Chengshu Li , Hanteng Wang

We consider the effects of weak measurements on the quantum critical ground state of the one-dimensional (a) tricritical and (b) critical quantum Ising model, by measuring in (a) the local energy and in (b) the local spin operator in a…

Statistical Mechanics · Physics 2024-09-04 Rushikesh A. Patil , Andreas W. W. Ludwig

The problem of a quantum Ising degree of freedom coupled to a gapless bosonic mode appears naturally in many one dimensional systems, yet surprisingly little is known how such a coupling affects the Ising quantum critical point. We…

Strongly Correlated Electrons · Physics 2017-02-21 Ori Alberton , Jonathan Ruhman , Erez Berg , Ehud Altman

We investigate the effect of quantum noise on the measurement-induced quantum phase transition in monitored random quantum circuits. Using the efficient simulability of random Clifford circuits, we find that the transition is broadened into…

Quantum Physics · Physics 2022-08-31 Beatriz C. Dias , Domagoj Perkovic , Masudul Haque , Pedro Ribeiro , Paul A. McClarty

Dynamical quantum phase transitions (DQPTs) feature singular temporal behavior in transient quantum states during nonequilibrium real-time evolution. In this work we show that DQPTs in random Ising chains exhibit critical behavior with…

Statistical Mechanics · Physics 2021-10-04 Daniele Trapin , Jad C. Halimeh , Markus Heyl

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

Dynamical detection of quantum phases and phase transitions (QPT) in quenched systems with experimentally convenient initial states is a topic of interest from both theoretical and experimental perspectives. Quenched from polarized states,…

Quantum Physics · Physics 2021-06-10 Ceren B. Dağ , Kai Sun

We analyze the effect of decoherence, modelled by local quantum channels, on quantum critical states and we find universal properties of the resulting mixed state's entanglement, both between system and environment and within the system.…

Quantum Physics · Physics 2023-07-05 Yijian Zou , Shengqi Sang , Timothy H. Hsieh

Conformal field theory (CFT) is an extremely powerful tool for explicitly computing critical exponents and correlation functions of statistical mechanics systems at a second order phase transition, or of condensed matter systems at a…

Mathematical Physics · Physics 2021-02-23 Alessandro Giuliani

We consider the ground-state properties of the s=1/2 Ising chain in a transverse field which varies regularly along the chain having a period of alternation 2. Such a model, similarly to its uniform counterpart, exhibits quantum phase…

Statistical Mechanics · Physics 2007-05-23 Oleg Derzhko , Taras Krokhmalskii

We present an accurate numerical determination of the crossover from classical to Ising-like critical behavior upon approach of the critical point in three-dimensional systems. The possibility to vary the Ginzburg number in our simulations…

Statistical Mechanics · Physics 2009-10-31 Erik Luijten , Kurt Binder

A string of repulsively interacting particles exhibits a phase transition to a zigzag structure, by reducing the transverse trap potential or the interparticle distance. The transition is driven by transverse, short wavelength vibrational…

Statistical Mechanics · Physics 2013-10-30 Pietro Silvi , Gabriele De Chiara , Tommaso Calarco , Giovanna Morigi , Simone Montangero

Scaling relations are used to study cross-overs, due to anisotropic spin interactions or single ion anisotropy, and due to disorder, in the thermodynamics and correlation functions near quantum-critical transitions. The principal results…

Strongly Correlated Electrons · Physics 2018-06-19 Chandra M. Varma

Despite the fact that a complete theoretical description of critical phenomena in connection with phase transitions has been well-established through the renormalization group theory, the microscopic nature of the phase transitions remains…

Statistical Mechanics · Physics 2025-11-07 Yun-Tong Yang , Fu-Zhou Chen , Hong-Gang Luo

The diverging responses to parameter variations of systems at quantum critical points motivate schemes of quantum metrology that feature sub-Heisenberg scaling of the sensitivity with the system size (e.g., the number of particles). This…

Quantum Physics · Physics 2021-08-11 Chong Chen , Ping Wang , Ren-Bao Liu

The attractive inverse square potential arises in a number of physical problems such as a dipole interacting with a charged wire, the Efimov effect, the Calgero-Sutherland model, near-horizon black hole physics and the optics of Maxwell…

Quantum Physics · Physics 2021-12-03 Sriram Sundaram , C. P. Burgess , D. H. J. O'Dell