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Cavity quantum electrodynamic (QED) is studied for two strongly-coupled charge qubits interacting with a single-mode quantized field, which is provided by a on-chip transmission line resonator. We analyze the dressed state structure of this…

Quantum Physics · Physics 2007-05-23 Y. D. Wang , H. T. Quan , Yu-xi Liu , C. P. Sun , Franco Nori

We study the dynamics of correlations in a paradigmatic setup to observe $\mathcal{PT}$-symmetric physics: a pair of coupled oscillators, one subject to a gain one to a loss. Starting from a coherent state, quantum correlations (QCs) are…

We determine the scaling functions describing the crossover from Ising-like critical behavior to classical critical behavior in two-dimensional systems with a variable interaction range. Since this crossover spans several decades in the…

Statistical Mechanics · Physics 2009-10-30 Erik Luijten , Henk W. J. Blöte , Kurt Binder

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 investigate the finite-size scaling of the boundary quantum geometric tensor (QGT) numerically close to the Anderson localization transition in the presence of small external magnetic fields. The QGT exhibits universal scaling and…

Disordered Systems and Neural Networks · Physics 2019-03-27 Miklós Antal Werner , Arne Brataas , Felix von Oppen , Gergely Zaránd

We investigate sudden quenches across the critical point in the transverse field Ising chain with a perturbing non-integrable next-nearest-neighbour interaction. Expressions for the return (Loschmidt) amplitude and associated rate function…

Statistical Mechanics · Physics 2015-06-22 Johannes Kriel , Christoph Karrasch , Stefan Kehrein

We extend the definition of a global order parameter to the case of a critical system confined between two infinite parallel plates separated by a finite distance $L$. For a quench to the critical point we study the persistence property of…

Statistical Mechanics · Physics 2009-11-13 D. Chakraborty , J. K. Bhattacharjee

We give an overview of the scaling of density of quasi-particles and excess energy (heat) for nearly adiabatic dynamics near quantum critical points (QCPs). In particular we discuss both sudden quenches of small amplitude and slow sweeps…

Statistical Mechanics · Physics 2010-05-19 Vladimir Gritsev , Anatoli Polkovnikov

We analyze the coherent quantum evolution of a many-particle system after slowly sweeping a power-law confining potential. The amplitude of the confining potential is varied in time along a power-law ramp such that the many-particle system…

Statistical Mechanics · Physics 2015-05-19 Mario Collura , Dragi Karevski

Quantum criticality is the intriguing possibility offered by the laws of quantum mechanics when the wave function of a many-particle physical system is forced to evolve continuously between two distinct, competing ground states. This…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Nicolas Roch , Serge Florens , Vincent Bouchiat , Wolfgang Wernsdorfer , Franck Balestro

We investigate two types of dynamical quantum phase transitions (DQPTs) in the transverse field Ising model on ensembles of Erd\H{o}s-R\'enyi networks of size $N$. These networks consist of vertices connected randomly with probability $p$…

Quantum Physics · Physics 2025-06-24 Tomohiro Hashizume , Felix Herbort , Joseph Tindall , Dieter Jaksch

I investigate the quantum phase transition of the transverse-field quantum Ising model in which nearest neighbors are defined according to the connectivity of scale-free networks. Using a continuous-time quantum Monte Carlo simulation…

Statistical Mechanics · Physics 2015-06-23 Hangmo Yi

The discovery of nontrivial topology in quantum critical states has introduced a new paradigm for classifying quantum phase transitions and challenges the conventional belief that topological phases are typically associated with a bulk…

The many-body physics at quantum phase transitions shows a subtle interplay between quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we first give a pedagogical introduction to the equilibrium…

Statistical Mechanics · Physics 2026-04-22 Davide Rossini , Ettore Vicari

We carefully examine critical metrology and present an improved critical quantum metrology protocol which relies on quenching a system exhibiting a superradiant quantum phase transition beyond its critical point. We show that this approach…

Quantum Physics · Physics 2022-05-04 Karol Gietka , Lewis Ruks , Thomas Busch

Ten years ago, coherent oscillations between two quantum states of a superconducting circuit differing by the presence or absence of a single Cooper pair on a metallic island were observed for the first time. This result immediately…

Mesoscale and Nanoscale Physics · Physics 2009-10-19 Vladimir E. Manucharyan , Jens Koch , Markus Brink , Leonid I. Glazman , Michel H. Devoret

The field of superconducting quantum computing, based on Josephson junctions, has recently seen remarkable strides in scaling the number of logical qubits. In particular, the fidelities of one- and two-qubit gates are close to the breakeven…

Quantum Physics · Physics 2024-04-16 Kangdi Yu

Although the leading-order scaling of entanglement entropy is non-universal at a quantum critical point (QCP), sub-leading scaling can contain universal behaviour. Such universal quantities are commonly studied in non-interacting field…

Strongly Correlated Electrons · Physics 2013-10-08 Stephen Inglis , Roger G. Melko

Quantum critical fluctuations may prove to play an instrumental role in the formation of unconventional superconductivity. Here, we show that the characteristic scaling of a marginal Fermi liquid is present in inelastic light scattering…

A critically enhanced decay of the Loschmidt echo is characteristic of sudden quench dynamics near a quantum phase transition. Here, we demonstrate that the decay and revival of the Loschmidt echo follows power-law scaling in the system…

Quantum Physics · Physics 2019-04-23 Myung-Joong Hwang , Bo-Bo Wei , Susana F. Huelga , Martin B. Plenio