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In this paper we review recent progress in studying quantum phase transitions in one- and two-component Bose-Einstein condensates (BEC) in optical lattices. These phase transitions involve the emergence and disappearance of quantum…

Strongly Correlated Electrons · Physics 2009-11-10 Yong-Shi Wu

Quantum phase transitions are sudden changes in the ground-state wavefunction of a many-body system that can occur as a control parameter such as a concentration or a field strength is varied. They are driven purely by the competition…

Strongly Correlated Electrons · Physics 2017-09-21 Jun Jing , Mike Guidry , Lian-Ao Wu

We investigate measurement-induced phase transitions in the Quantum Ising chain coupled to a monitoring environment. We compare two different limits of the measurement problem, the stochastic quantum-state diffusion protocol corresponding…

Quantum Physics · Physics 2021-07-07 Xhek Turkeshi , Alberto Biella , Rosario Fazio , Marcello Dalmonte , Marco Schiro

We theoretically study the dynamics of a transverse-field Ising chain with power-law decaying interactions characterized by an exponent $\alpha$, which can be experimentally realized in ion traps. We focus on two classes of emergent…

Quantum Gases · Physics 2018-04-04 Bojan Zunkovic , Markus Heyl , Michael Knap , Alessandro Silva

We study the non-equilibrium dynamics of ultracold bosons in an optical lattice with a time dependent hopping amplitude J(t)=J_0 +\delta J \cos(\omega t) which takes the system from a superfluid phase near the Mott-superfluid transition (J=…

Quantum Gases · Physics 2013-11-11 S. Mondal , D. Pekker , K. Sengupta

We study quantum dynamics of wave packet motion of Bloch electrons in quantum networks with the tight-binding approach for different types of nearest-neighbor interactions. For various geometrical configurations, these networks can function…

Quantum Physics · Physics 2011-11-09 S. Yang , Z. Song , C. P. Sun

We study the response of a thermal state of an Ising chain to a nonlocal non-Hermitian perturbation, which coalesces the topological Kramer-like degeneracy in the ferromagnetic phase. The dynamic responses for initial thermal states in…

Strongly Correlated Electrons · Physics 2021-03-24 K. L. Zhang , Z. Song

The Loschmidt amplitude of the purified states of mixed-state density matrices is shown to have zeros when the system undergoes a quasistatic, quench, or Uhlmann process. While the Loschmidt-amplitude zero of a quench process corresponds to…

Quantum Physics · Physics 2020-09-24 Xu-Yang Hou , Qu-Cheng Gao , Hao Guo , Yan He , Tong Liu , Chih-Chun Chien

We study quenches across the Bose-Hubbard Mott-insulator-to-superfluid quantum phase transition using an ultra-cold atomic gas trapped in an optical lattice. Quenching from the Mott insulator to superfluid phase is accomplished by…

Quantum Gases · Physics 2013-05-29 D. Chen , M. White , C. Borries , B. DeMarco

Understanding the training dynamics of quantum neural networks is a fundamental task in quantum information science with wide impact in physics, chemistry and machine learning. In this work, we show that the late-time training dynamics of…

Quantum Physics · Physics 2024-10-31 Bingzhi Zhang , Junyu Liu , Xiao-Chuan Wu , Liang Jiang , Quntao Zhuang

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

We study the effects of quenched disorder in a class of quantum chains with (p+1)-multispin interactions exhibiting a free fermionic spectrum, paying special attention to the case p=2. Depending if disorder couples to (i) all the couplings…

Disordered Systems and Neural Networks · Physics 2023-12-22 Francisco C. Alcaraz , José A. Hoyos , Rodrigo A. Pimenta

Quantum skyrmionic phase is modelled in a 2D helical spin lattice. This topological skyrmionic phase retains its nature in a large parameter space before moving to a ferromagnetic phase. Next nearest-neighbour interaction improves the…

Strongly Correlated Electrons · Physics 2023-04-18 Vipin Vijayan , L. Chotorlishvili , A. Ernst , S. S. P. Parkin , M. I. Katsnelson , S. K. Mishra

We investigate large deviations of the work performed in a quantum quench across two different phases separated by a quantum critical point, using as example the Dicke model quenched from its superradiant to its normal phase. We extract the…

Statistical Mechanics · Physics 2020-02-10 P. Rotondo , J. Minar , J. P. Garrahan , I. Lesanovsky , M. Marcuzzi

By analyzing the probability distributions of the Loschmidt echo (LE) and quantum work, we examine the nonequilibrium effects of a quantum many-body system, which exhibits an excited-state quantum phase transition (ESQPT). We find that…

Quantum Physics · Physics 2017-10-04 Qian Wang , H. T. Quan

We study the quench dynamics of a one-dimensional ultracold Fermi gas in an optical lattice potential with synthetic spin-orbit coupling. At equilibrium, the ground state of the system can undergo a topological phase transition and become a…

Quantum Gases · Physics 2015-01-20 Pei Wang , Wei Yi , Gao Xianlong

We establish an intriguing connection between quantum phase transitions and bifurcations in the reduced fidelity between two different reduced density matrices for quantum lattice many-body systems with symmetry-breaking orders. Our finding…

Strongly Correlated Electrons · Physics 2009-05-20 Jin-Hua Liu , Qian-Qian Shi , Jian-Hui Zhao , Huan-Qiang Zhou

Dynamical quantum phase transitions in non-Hermitian systems pose fundamental challenges due to the intrinsic biorthogonality of their eigenstates. In this work, we extend a biorthogonal framework to investigate dynamical quantum phase…

Quantum Physics · Physics 2026-05-26 Haoran Gu , Yubo Zhao , Siyuan Cheng , Yuee Xie , Xiaosen Yang , Yuanping Chen

Based on the obtained exact results we systematically study the quench dynamics of a one-dimensional spin-1/2 transverse field Ising model with zero- and finite-temperature initial states. We focus on the magnetization of the system after a…

Statistical Mechanics · Physics 2009-08-11 Ying Li , M. X. Huo , Z. Song

We consider the non-equilibrium dynamics arising after a quench of the transverse magnetic field of a quantum Ising chain, together with the sudden switch-on of a long-range interaction term. The dynamics after the quantum quench is mapped…

Statistical Mechanics · Physics 2016-12-21 M. Marcuzzi , J. Marino , A. Gambassi , A. Silva
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