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Efficiency of time-evolution of quantum observables, and thermal states of quenched hamiltonians, is studied using time-dependent density matrix renormalization group method in a family of generic quantum spin chains which undergo a…

Quantum Physics · Physics 2007-05-23 Tomaz Prosen , Marko Znidaric

We develop randomized quantum algorithms to simulate quantum collision models, also known as repeated interaction schemes, which provide a rich framework to model various open-system dynamics. The underlying technique involves composing…

Quantum Physics · Physics 2025-08-20 Kushagra Garg , Zeeshan Ahmed , Subhadip Mitra , Shantanav Chakraborty

Interaction is so ubiquitous that imaging a world free from it is a difficult fantasy exercise. At the same time, in understanding any complex physical system, our ability of accounting for the mutual interaction of its constituents is…

Quantum Physics · Physics 2015-01-19 Roberto D'Agosta

Systems of interacting quantum spins show a rich spectrum of quantum phases and display interesting many-body dynamics. Computing characteristics of even small systems on conventional computers poses significant challenges. A quantum…

The incoherent dynamical properties of open quantum systems are generically attributed to an ongoing correlation between the system and its environment. Here, we propose a novel way to assess the nature of these system-environment…

Quantum Physics · Physics 2018-01-23 Hong-Bin Chen , Clemens Gneiting , Ping-Yuan Lo , Yueh-Nan Chen , Franco Nori

In order to simulate open quantum systems, many approaches (such as Hamiltonian-based solvers in dynamical mean-field theory) aim for a reproduction of a desired environment spectral density in terms of a discrete set of bath states,…

Strongly Correlated Electrons · Physics 2020-10-07 Max Nusspickel , George H. Booth

Simulating open quantum systems is key to understanding non-equilibrium processes, as persistent influence from the environment induces dissipation and can give rise to steady-state phase transitions. A common strategy is to embed the…

Quantum Physics · Physics 2025-12-19 Lucia Vilchez-Estevez , Alexander Yosifov , Jinzhao Sun

The strength of DMRG lies in its treatment of identical sites that are energetically degenerate and spatially similar. However, this becomes a drawback when applied to quantum chemistry calculations for large systems, as entangled orbitals…

Quantum Physics · Physics 2024-12-03 Yifan Cheng , Zhaoxuan Xie , Xiaoyu Xie , Haibo Ma

We present a new approach to calculate real-time quantum dynamics in complex systems. The formalism is based on the partitioning of a system's environment into "core" and "reservoir" modes, with the former to be treated quantum mechanically…

Statistical Mechanics · Physics 2015-05-30 Timothy C. Berkelbach , David R. Reichman , Thomas E. Markland

An isolated system of interacting quantum particles is described by a Hamiltonian operator. Hamiltonian models underpin the study and analysis of physical and chemical processes throughout science and industry, so it is crucial they are…

We analyze perturbative dynamics of a composite system consisting of a quantum mechanical system and an environment by the renormalization group (RG) method. The solution obtained from the RG method has no secular terms and approximates the…

Quantum Physics · Physics 2017-10-18 Shingo Kukita

A general framework for performing event-driven simulations of systems with semi-flexible or rigid bodies interacting under impulsive torques and forces is outlined. Two different approaches are presented. In the first, the dynamics and…

Statistical Mechanics · Physics 2007-05-23 Lisandro Hernandez de la Pena , Ramses van Zon , Jeremy Schofield , Sheldon B. Opps

As the realization of a fully operational quantum computer remains distant, quantum simulation, whereby one quantum system is engineered to simulate another, becomes a key goal of great practical importance. Here we report on a variational…

Quantum Physics · Physics 2013-04-03 Sean Barrett , Klemens Hammerer , Sarah Harrison , Tracy E. Northup , Tobias J. Osborne

We introduce a method to efficiently study the dynamical properties of many-body localized systems in the regime of strong disorder and weak interactions. Our method reproduces qualitatively and quantitatively the real-time evolution with a…

Disordered Systems and Neural Networks · Physics 2019-07-03 Giuseppe De Tomasi , Frank Pollmann , Markus Heyl

Efficient simulation of quantum mechanical problems can be performed in a quantum computer where the interactions of qubits lead to the realization of various problems possessing quantum nature. Spin-Boson Model (SBM) is one of the striking…

Describing dynamics of a quantum system coupled to a complex many-body environment is a ubiquitous problem in quantum science. General non-Markovian environments are characterized by their influence matrix~(IM) -- a multi-time tensor…

Quantum Physics · Physics 2024-08-06 Ilia A. Luchnikov , Michael Sonner , Dmitry A. Abanin

We reformulate the full quantum dynamics of spin systems using a phase space representation based on SU(2) coherent states which generates an exact mapping of the dynamics of any spin system onto a set of stochastic differential equations.…

Statistical Mechanics · Physics 2013-10-10 Ray Ng , Piotr Deuar , Erik Sorensen

We consider a one-dimensional gas of cold atoms with strong contact interactions and construct an effective spin-chain Hamiltonian for a two-component system. The resulting Heisenberg spin model can be engineered by manipulating the shape…

Quantum Gases · Physics 2015-02-24 A. G. Volosniev , D. Petrosyan , M. Valiente , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Non-Markovian open quantum systems represent the most general dynamics when the quantum system is coupled with a bath environment. The quantum dynamics arising from many important applications are non-Markovian. Although for special cases,…

Quantum Physics · Physics 2023-03-01 Xiantao Li , Chunhao Wang

One of the greatest challenges in quantum information processing is the coherent control over quantum systems with an ever increasing number of particles. Within this endeavor, the harnessing of many-body entanglement against the effects of…

Quantum Physics · Physics 2015-04-03 Leandro Aolita , Fernando de Melo , Luiz Davidovich
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