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We explore the evolution of a strongly interacting dissipative quantum Ising spin chain that is driven by a slowly varying time-dependent transverse field. This system possesses an extensive number of instantaneous (adiabatic) stationary…

Quantum Physics · Physics 2025-09-16 Paulo J. Paulino , Stefan Teufel , Federico Carollo , Igor Lesanovsky

We consider an inhomogeneous quantum phase transition across a multicritical point of the XY quantum spin chain. This is an example of a Lifshitz transition with a dynamical exponent z = 2. Just like in the case z = 1 considered in New J.…

Statistical Mechanics · Physics 2010-10-28 Jacek Dziarmaga , Marek M. Rams

The dynamics of a quantum phase transition is inextricably woven with the formation of excitations, as a result of the critical slowing down in the neighborhood of the critical point. We design a transitionless quantum driving through a…

Quantum Physics · Physics 2012-09-17 Adolfo del Campo , Marek M. Rams , Wojciech H. Zurek

It is well known that the dynamics of a quantum system is always non-adiabatic in passage through a quantum critical point and the defect density in the final state following a quench shows a power-law scaling with the rate of quenching.…

Statistical Mechanics · Physics 2015-05-13 Debanjan Chowdhury , Uma Divakaran , Amit Dutta

Chemical relaxation phenomena, including photochemistry and electron transfer processes, form a vigorous area of research in which nonadiabatic dynamics plays a fundamental role. Here, we show that for nonadiabatic dynamics with two…

Chemical Physics · Physics 2022-07-20 Yanze Wu , Xuezhi Bian , Jonathan Rawlinson , Robert G. Littlejohn , Joseph E. Subotnik

The appearance of so-called exceptional points in the complex spectra of non-Hermitian systems is often associated with phenomena that contradict our physical intuition. One example of particular interest is the state-exchange process…

In this work, we investigate the quantum phase transition in a non-Hermitian XY spin chain. The phase diagram shows that the critical points of Ising phase transition expand into a critical transition zone after introducing a non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Yu-Guo Liu , Lu Xu , Zhi Li

We study the adiabatic quantum dynamics of an anisotropic spin-1 XY chain across a second order quantum phase transition. The system is driven out of equilibrium by performing a quench on the uniaxial single-spin anisotropy, that is…

Statistical Mechanics · Physics 2009-03-31 Elena Canovi , Davide Rossini , Rosario Fazio , Giuseppe E. Santoro

In a quantum system with a smoothly and slowly varying Hamiltonian, which approaches a constant operator at times $t\to \pm \infty$, the transition probabilities between adiabatic states are exponentially small. They are characterized by an…

Quantum Physics · Physics 2009-10-31 Michael Wilkinson , Michael A. Morgan

We establish a set of nonequilibrium quantum phase transitions in the Ising model driven under monochromatic nonadiabatic modulation of the transverse field. We show that besides the Ising-like critical behavior, the system exhibits an…

Quantum Physics · Physics 2013-01-03 V. M. Bastidas , C. Emary , G. Schaller , T. Brandes

We systematically characterize the dynamical evolution of time-parity (PT )-symmetric two-level systems with spin-dependent dissipations. If the control parameters of the gap are linearly tuned with time, the dynamical evolution can be…

Quantum Physics · Physics 2026-01-21 Jian-Song Pan , Fan Wu

We introduce an inhomogeneous protocol to drive a weakly disordered quantum spin chain quasi-adiabatically across a quantum phase transition and minimize the residual energy of the final state. The number of spins that simultaneously reach…

Quantum Physics · Physics 2016-12-28 Marek M. Rams , Masoud Mohseni , Adolfo del Campo

We consider the spin-1/2 Ising chain in a regularly alternating transverse field to examine the effects of regular alternation on the quantum phase transition inherent in the quantum Ising chain. The number of quantum phase transition…

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

Motivated by experiments with current biased superconducting atomic point contacts the general problem of nonadiabatic transitions between adiabatic surfaces in presence of strong dissipation is studied. For a single channel device the…

Mesoscale and Nanoscale Physics · Physics 2009-06-05 Hans Fritz , Joachim Ankerhold

We propose and solve a minimal model of dynamic passage through a second-order phase transition in the presence of symmetry breaking interactions and no dissipation. Our model generalizes the Hamiltonian dynamics of the Painleve'-2 equation…

Quantum Physics · Physics 2025-03-27 Bhavay Tyagi , Fumika Suzuki , Vladimir A. Chernyak , Nikolai A. Sinitsyn

We study the process of nonlinear stimulated Raman adiabatic passage within a classical mean-fieldframework. Depending on the sign of interaction, the breakdown of adiabaticity in the interactingnonintegrable system is not related to…

Quantum Gases · Physics 2019-01-02 Amit Dey , Doron Cohen , Amichay Vardi

Adiabatic processes in the quantum Ising model and the anisotropic Heisenberg model are discussed. The adiabatic processes are assumed to consist in the slow variation of the strength of the magnetic field that environs the spin-systems.…

Quantum Physics · Physics 2009-11-10 V. Murg , J. I. Cirac

We study an entanglement phase transition in a class of chaotic non-Hermitian spin chains whose spin-spin coupling terms commute with the non-Hermitian contributions. Two representative models are investigated: the transverse-field Ising…

Quantum Physics · Physics 2026-04-30 Zhen-Tao Zhang , Feng Mei

We propose a scheme which can produce desired nonadiabatic passages for the stimulated Raman transition in three-level systems. The state transfer in the protocol is realized by following the evolution of the dynamical basis itself and no…

Quantum Physics · Physics 2019-11-27 Hong Cao , Shao-Wu Yao , Li-Xiang Cen

Simulating the real-time evolution of quantum spin systems far out of equilibrium poses a major theoretical challenge, especially in more than one dimension. We experimentally explore the dynamics of a two-dimensional Ising spin system with…

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