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We study numerically and analytically the quench dynamics of isolated many-body quantum systems. Using full random matrices from the Gaussian orthogonal ensemble, we obtain analytical expressions for the evolution of the survival…

统计力学 · 物理学 2018-03-07 E. J. Torres-Herrera , Antonio M. García-García , Lea F. Santos

The isolated one-dimensional Heisenberg model with static random magnetic fields has become paradigmatic for the analysis of many-body localization. Here, we study the dynamics of this system initially prepared in a highly-excited…

无序系统与神经网络 · 物理学 2015-07-27 E. J. Torres-Herrera , Lea F. Santos

Injecting a sufficiently large energy density into an isolated many-particle system prepared in a state with long-range order will lead to the melting of the order over time. Detailed information about this process can be derived from the…

统计力学 · 物理学 2020-01-29 Mario Collura , Fabian H. L. Essler

We study experimentally a system comprised of linear chains of spin-1/2 nuclei that provides a test-bed for multi-body dynamics and quantum information processing. This system is a paradigm for a new class of quantum information devices…

量子物理 · 物理学 2009-11-13 Paola Cappellaro , Chandrasekhar Ramanathan , David G. Cory

We study the quenching dynamics of a many-body system in one dimension described by a Hamiltonian that has spatial periodicity. Specifically, we consider a spin-1/2 chain with equal xx and yy couplings and subject to a periodically varying…

强关联电子 · 物理学 2015-06-03 Manisha Thakurathi , Wade DeGottardi , Diptiman Sen , Smitha Vishveshwara

Using coherent states as initial states, we investigate the quantum dynamics of the Lipkin-Meshkov-Glick (LMG) and Dicke models in the semi-classical limit. They are representative models of bounded systems with one- and two-degrees of…

Scrambling in interacting quantum systems out of equilibrium is particularly effective in the chaotic regime. Under time evolution, initially localized information is said to be scrambled as it spreads throughout the entire system. This…

强关联电子 · 物理学 2018-09-26 Adolfo del Campo , Javier Molina Vilaplana , Lea F. Santos , Julian Sonner

We review our results for the dynamics of isolated many-body quantum systems described by one-dimensional spin-1/2 models. We explain how the evolution of these systems depends on the initial state and the strength of the perturbation that…

统计力学 · 物理学 2017-08-03 Lea F. Santos , E. Jonathan Torres-Herrera

We study the onset of chaos and statistical relaxation in two isolated dynamical quantum systems of interacting spins-1/2, one of which is integrable and the other chaotic. Our approach to identifying the emergence of chaos is based on the…

统计力学 · 物理学 2012-06-05 L. F. Santos , F. Borgonovi , F. M. Izrailev

We study the spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures using a time-dependent density matrix renormalization group method. System sizes are chosen large enough to…

强关联电子 · 物理学 2015-06-18 C. Karrasch , J. E. Moore , F. Heidrich-Meisner

We investigate how the dynamical fluctuations of many-body quantum systems out of equilibrium can be mitigated when they are opened to a dephasing environment. We consider the survival probability (spectral form factor with a filter)…

The long-time behavior of the survival probability for unstable multilevel systems that follows the power-decay law is studied based on the N-level Friedrichs model, and is shown to depend on the initial population in unstable states. A…

量子物理 · 物理学 2007-05-23 Manabu Miyamoto

Dynamical signatures of quantum chaos are observed in the survival probability of different initial states, in a system of cold atoms trapped in a linear chain with site noise and open boundary conditions. It is shown that chaos is present…

量子物理 · 物理学 2023-12-13 Carlos Diaz Mejia , Javier de la Cruz , Sergio Lerma-Hernandez , Jorge G. Hirsch

We study the time evolution of spin squeezing in the one-dimensional spin-1/2 XY model subject to a sudden quantum quench of a transverse magnetic field. The initial state is selected from the ground state phase diagram of the model,…

量子物理 · 物理学 2022-02-15 Hadi Cheraghi , Saeed Mahdavifar , Henrik Johannesson

The dynamics of a single quantum state embedded in one or several (quasi-)continua is one of the most studied phenomena in quantum mechanics. In this work we investigate its discrete analogue and consider short and long time dynamics based…

量子物理 · 物理学 2023-06-06 Jan Petter Hansen , Konrad Tywoniuk

We consider a class of quantum quenches in the spin-1/2 XXZ chain, where the initial state is of a simple product form. Specific examples are the N\'eel state, the dimer state and the q-deformed dimer state. We compute determinant formulas…

统计力学 · 物理学 2015-06-17 B. Pozsgay

We present an overview of our studies on the nonequilibrium dynamics of quantum systems that have many interacting particles. Our emphasis is on systems that show strong level repulsion, referred to as chaotic systems. We discuss how full…

统计力学 · 物理学 2019-05-01 Lea F. Santos , E. J. Torres-Herrera

We analyse time evolution of spread complexity (SC) in an isolated interacting quantum many-body system when it is subjected to a sudden quench. The differences in characteristics of the time evolution of the SC for different time scales is…

量子物理 · 物理学 2023-08-02 Mamta Gautam , Kunal Pal , Kuntal Pal , Ankit Gill , Nitesh Jaiswal , Tapobrata Sarkar

When the initial state of a quantum mechanical system is an excited state, then it is expected that the occupation, or survival, probability of that state will decrease. This is studied numerically within the Bixon-Jortner model, which was…

量子物理 · 物理学 2023-09-08 James P. Lavine

We investigate multipartite entanglement dynamics in disordered spin-1/2 lattice models exhibiting a transition from integrability to quantum chaos. Borrowing from the recently introduced generalized entanglement framework, we construct…

量子物理 · 物理学 2009-11-11 Simone Montangero , Lorenza Viola
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