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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

It is shown that dynamics of the Landau-Zener model can be accurately described in terms of the Kibble-Zurek theory of the topological defect production in nonequilibrium phase transitions. The simplest quantum model exhibiting the…

Other Condensed Matter · Physics 2009-11-10 Bogdan Damski

This paper presents an optimization approach to explain why and how a quantum system evolves from an arbitrary initial state to a stationary state, satisfying the time-independent Schr\"{o}dinger equation. It also points out the inaccuracy…

General Physics · Physics 2015-03-05 Xiaofei Huang

We optimise a translationally invariant, sequential quantum circuit on a superconducting quantum device to simulate the groundstate of the quantum Ising model through its quantum critical point. We further demonstrate how the dynamical…

We study the out-of-equilibrium Kibble-Zurek (KZ) dynamics in quantum Ising chains in a transverse field, driven by a time-dependent longitudinal field $h(t)=t/t_s$ ($t_s$ is the time scale of the protocol), across their first-order quantum…

Statistical Mechanics · Physics 2025-10-10 Andrea Pelissetto , Davide Rossini , Ettore Vicari

We consider a massless, minimally coupled scalar with a quartic self-interaction which is released in Bunch-Davies vacuum in locally de Sitter background of an inflating universe. It was shown, in this system, that quantum effects can…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. O. Kahya , V. K. Onemli

We investigate the multipartite entanglement for a slow quantum quench crossing a critical point. We consider the quantum Ising model and the Lipkin-Meshkov-Glick model, which are local and full-connected quantum systems, respectively. The…

Quantum Physics · Physics 2024-11-25 Hao-Yu Sun , Zi-Yong Ge , Heng Fan

The dynamical status of isolated quantum systems, partly due to the linearity of the Schrodinger equation is unclear: Conventional measures fail to detect chaos in such systems. However, when quantum systems are subjected to observation --…

Quantum Physics · Physics 2009-11-10 Salman Habib , Kurt Jacobs , Kosuke Shizume

Kibble-Zurek (KZ) mechanism describes the scaling behavior when driving a system across a continuous symmetry-breaking transition. Previous studies have shown that the KZ-like scaling behavior also lies in the topological transitions in the…

Statistical Mechanics · Physics 2024-10-21 Huan Yuan , Jinyi Zhang , Shuai Chen , Xiaotian Nie

While quantum phase transitions share many characteristics with thermodynamic phase transitions, they are also markedly different as they occur at zero temperature. Hence, it is not immediately clear whether tools and frameworks that…

Statistical Mechanics · Physics 2025-10-16 Pierre Nazé , Marcus V. S. Bonança , Sebastian Deffner

In a scenario of spontaneous symmetry breaking in finite time, topological defects are generated at a density that scale with the driving time according to the Kibble-Zurek mechanism (KZM). Signatures of universality beyond the KZM have…

Statistical Mechanics · Physics 2022-10-12 Fernando J. Gómez-Ruiz , David Subires , Adolfo del Campo

We show that no matter how slowly a quantum-to-classical symmetry breaking process is driven, the adiabatic limit can never be reached in a macroscopic body. Massive defect formation preempts an adiabatic quantum-classical crossover and…

Quantum Physics · Physics 2015-05-27 Carmine Ortix , Jorrit Rijnbeek , Jeroen van den Brink

We show that quantum computation can be performed in a system at thermal equilibrium if a spontaneous symmetry breaking occurs. The computing process is associated to the time evolution of the statistical average of the qubit coherence…

Statistical Mechanics · Physics 2007-05-23 F. de Pasquale , S. M. Giampaolo

In this paper, we study the quantum decoherence induced by accumulation of electron tunnelings during the quantum measurement of a charge qubit. The charge qubit is a single electron confined in coupled quantum dots. The measurement of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ming-Tsung Lee , Wei-Min Zhang

We address the quantum dynamics of a system composed of a qubit globally coupled to a many-body system characterized by short-range interactions. We employ a dynamic finite-size scaling framework to investigate the out-of-equilibrium…

Statistical Mechanics · Physics 2019-05-20 Davide Rossini , Ettore Vicari

We study the quench dynamics of the three-dimensional Kitaev (spin) model under a linear drive using both exact numerical calculations and analytical "independent crossing approximation". Unlike the two-dimensional Kitaev model, the…

Strongly Correlated Electrons · Physics 2020-10-23 Subhajit Sarkar , Dibyendu Rana , Saptarshi Mandal

When a second-order phase transition is crossed at fine rate, the evolution of the system stops being adiabatic as a result of the critical slowing down in the neighborhood of the critical point. In systems with a topologically nontrivial…

Statistical Mechanics · Physics 2013-09-13 A. del Campo , T. W. B. Kibble , W. H. Zurek

We consider conservative quantum evolutions possibly interrupted by macroscopic measurements. When started in a nonequilibrium state, the resulting path-space measure is not time-reversal invariant and the weight of time-reversal breaking…

Statistical Mechanics · Physics 2007-05-23 I. Callens , W. De Roeck , T. Jacobs , C. Maes , K. Netocny

Out-of-equilibrium systems continuously generate entropy, with its rate of production being a fingerprint of non-equilibrium conditions. In small-scale dissipative systems subject to thermal noise, fluctuations of entropy production are…

Statistical Mechanics · Physics 2023-01-19 Prajwal Padmanabha , Daniel Maria Busiello , Amos Maritan , Deepak Gupta

We address the one-dimensional quantum Ising model as an example of system exhibiting criticality and study in some details the discrimination problem for pairs of states corresponding to different values of the coupling constant. We…

Quantum Physics · Physics 2015-05-13 Carmen Invernizzi , Matteo G A Paris