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We review recent theoretical work on two closely related issues: excitation of an isolated quantum condensed matter system driven adiabatically across a continuous quantum phase transition or a gapless phase, and apparent relaxation of an…

量子气体 · 物理学 2015-05-14 Jacek Dziarmaga

The Kibble-Zurek mechanism (KZM) successfully predicts the density of topological defects deposited by the phase transitions, but it is not clear why. Its key conjecture is that, near the critical point of the second-order phase transition,…

统计力学 · 物理学 2025-12-01 Fumika Suzuki , Wojciech H. Zurek

When an external parameter drives a system across a quantum phase transition at a finite rate, work is performed on the system and entropy is dissipated, due to the creation of excitations via the Kibble-Zurek mechanism. Although both the…

量子物理 · 物理学 2025-10-09 Zhanyu Ma , Andrew K. Mitchell , Eran Sela

Current generation quantum annealers have already proven to be successful problem-solvers. Yet, quantum annealing is still very much in its infancy, with suboptimal applicability. For instance, to date it is still an open question which…

We consider the Rabi Hamiltonian which exhibits a quantum phase transition (QPT) despite consisting only of a single-mode cavity field and a two-level atom. We prove QPT by deriving an exact solution in the limit where the atomic transition…

量子物理 · 物理学 2015-10-30 Myung-Joong Hwang , Ricardo Puebla , Martin B. Plenio

Slow variations (quenches) of the magnetic field across the paramagnetic-ferromagnetic phase transition of spin systems produce heat. In systems with short-range interactions the heat exhibits universal power-law scaling as a function of…

量子气体 · 物理学 2018-12-19 Nicolo Defenu , Tilman Enss , Michael Kastner , Giovanna Morigi

We study the equilibrium and dynamical properties of a ferromagnetic spinor atomic Bose-Einstein condensate. In the vicinity of the critical point for a continuous quantum phase transition, universal behaviors are observed both in the…

量子气体 · 物理学 2018-07-25 Ming Xue , Shuai Yin , Li You

We study the role played by extensive degeneracy in shaping the nature of the quantum dynamics of a one-dimensional spin model for both ramp and periodic drive protocols. The model displays an extensive degenerate manifold of states for a…

量子物理 · 物理学 2025-08-07 Krishanu Ghosh , Diptiman Sen , K. Sengupta

Measurement-induced phase transitions (MIPT), characterizing abrupt changes in entanglement properties in quantum many-body systems subjected to unitary evolution with interspersed projective measurements, have garnered increasing interest.…

量子物理 · 物理学 2024-11-12 Wantao Wang , Shuo Liu , Jiaqiang Li , Shi-Xin Zhang , Shuai Yin

In this work, we explore the driven dynamics of the one-dimensional ($1$D) localization transitions. By linearly changing the strength of disorder potential, we calculate the evolution of the localization length $\xi$ and the inverse…

统计力学 · 物理学 2024-03-15 Xuan Bu , Liang-Jun Zhai , Shuai Yin

We study the crossing of the quantum phase transition in the transverse-field Ising model after modulating the magnetic field at an arbitrary rate, exploring the critical dynamics from the slow to the sudden quench regime. We do so by…

统计力学 · 物理学 2025-05-05 András Grabarits , Federico Balducci , Adolfo del Campo

The trapped ion quantum simulator has demonstrated qualitative properties of different physical models for up to tens of ions. In particular, a linear ion chain naturally hosts long-range Ising interactions under the laser driving, which…

量子物理 · 物理学 2023-01-02 B. -W. Li , Y. -K. Wu , Q. -X. Mei , R. Yao , W. -Q. Lian , M. -L. Cai , Y. Wang , B. -X. Qi , L. Yao , L. He , Z. -C. Zhou , L. -M. Duan

We propose a theory to explain the experimental observed deviation from the Kibble-Zurek mechanism (KZM) scaling in rapidly quenched critical phase transition dynamics. There is a critical quench rate $\tau_{Q}^{c1}$ above it the KZM…

统计力学 · 物理学 2021-10-18 Chuan-Yin Xia , Hua-Bi Zeng

We present a formulation for investigating quench dynamics across quantum phase transitions in the presence of decoherence. We formulate decoherent dynamics induced by continuous quantum non-demolition measurements of the instantaneous…

量子物理 · 物理学 2021-03-16 Wei-Ting Kuo , Daniel Arovas , Smitha Vishveshwara , Yi-Zhuang You

We investigate the statistics of the work performed during a quench across a quantum phase transition using the adiabatic perturbation theory. It is shown that all the cumulants of work exhibit universal scaling behavior analogous to the…

量子物理 · 物理学 2020-05-06 Zhaoyu Fei , Nahuel Freitas , Vasco Cavina , H. T. Quan , Massimiliano Esposito

The Kibble-Zurek mechanism quantifies defect formation during adiabatic passage across a continuous phase transition, providing key insights into universality in quantum many-body systems. We explore counting statistics of defects in…

The Kibble-Zurek mechanism (KZM) captures the key physics in the non-equilibrium dynamics of second-order phase transitions, and accurately predict the density of the topological defects formed in this process. However, despite much effort,…

量子物理 · 物理学 2014-12-11 Xiao-Ye Xu , Yong-Jian Han , Kai Sun , Jin-Shi Xu , Jian-Shun Tang , Chuan-Feng Li , Guang-Can Guo

The conventional Kibble-Zurek scaling describes the scaling behavior in the driven dynamics across a single critical region. In this paper, we study the driven dynamics across an overlapping critical region, in which a critical region…

统计力学 · 物理学 2018-04-13 Liang-Jun Zhai , Huai-Yu Wang , Shuai Yin

We study the out-of-equilibrium dynamics of $p$-wave superconducting quantum wires with long-range interactions, when the chemical potential is linearly ramped across the topological phase transition. We show that the heat produced after…

量子物理 · 物理学 2019-11-27 Nicolò Defenu , Giovanna Morigi , Luca Dell'Anna , Tilman Enss

Deconfined quantum criticality (DQC) arises from fractionalization of quasi-particles and leads to fascinating behaviors beyond the Landau-Ginzburg-Wilson description of phase transitions. Here, we study the critical dynamics when driving a…

强关联电子 · 物理学 2025-04-15 Yu-Rong Shu , Shao-Kai Jian , Anders W. Sandvik , Shuai Yin