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Simulation methods for open quantum many-body systems

Journal

REVIEWS OF MODERN PHYSICS
Volume 93, Issue 1, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/RevModPhys.93.015008

Keywords

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Funding

  1. Volkswagen Foundation
  2. Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [SFB 1227, SPP 1929]
  3. Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy within EXC-2123 QuantumFrontiers [390837967]

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Coupling a quantum many-body system to an external environment can significantly alter its dynamics, leading to new possibilities not available in closed systems. Understanding the properties of the steady state and relaxation dynamics of open quantum many-body systems is of particular interest. New computational tools are needed to simulate these systems, as existing methods for closed systems are not directly applicable. This review discusses various approaches to simulating open many-body systems and highlights recent advances in simulating large system sizes.
Coupling a quantum many-body system to an external environment dramatically changes its dynamics and offers novel possibilities not found in closed systems. Of special interest are the properties of the steady state of such open quantum many-body systems, as well as the relaxation dynamics toward the steady state. However, new computational tools are required to simulate open quantum many-body systems, as methods developed for closed systems cannot be readily applied. Several approaches to simulating open many-body systems are reviewed, and advances made in recent years toward the simulation of large system sizes are pointed out.

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