Simulation methods for open quantum many-body systems
نویسندگان
چکیده
This article reviews theoretical methods to deal with interacting quantum particles that are in contact their environment and thus described by a master equation rather than Schr\"odinger equation. The similarities differences discussed between the pursuit of pure many-body ground states mixed steady different methods, an outlook is provided on advances toward simulation large open system.
منابع مشابه
Ultracold atoms for simulation of many body quantum systems
Feynman famously proposed simulating quantum physics using other, better controlled, quantum systems. This vision is now a reality within the realm of ultracold atomic physics. We discuss how these systems can be used to simulate many body physics, concentrating the Berezinskii-Kosterlitz-Thouless transition in 2D physics and the role of disorder.
متن کاملGeometric methods for nonlinear many-body quantum systems
Geometric techniques have played an important role in the seventies, for the study of the spectrum of many-body Schrödinger operators. In this paper we provide a formalism which also allows to study nonlinear systems. We start by defining a weak topology on many-body states, which appropriately describes the physical behavior of the system in the case of lack of compactness, that is when some p...
متن کاملAdiabatic dynamics in open quantum critical many-body systems.
The purpose of this work is to understand the effect of an external environment on the adiabatic dynamics of a quantum critical system. By means of scaling arguments we derive a general expression for the density of excitations produced in the quench as a function of its velocity and of the temperature of the bath. We corroborate the scaling analysis by explicitly solving the case of a one-dime...
متن کاملEfficient simulation of one-dimensional quantum many-body systems.
We present a numerical method to simulate the time evolution, according to a generic Hamiltonian made of local interactions, of quantum spin chains and systems alike. The efficiency of the scheme depends on the amount of entanglement involved in the simulated evolution. Numerical analysis indicates that this method can be used, for instance, to efficiently compute time-dependent properties of l...
متن کاملPreparation of many-body states for quantum simulation.
While quantum computers are capable of simulating many quantum systems efficiently, the simulation algorithms must begin with the preparation of an appropriate initial state. We present a method for generating physically relevant quantum states on a lattice in real space. In particular, the present algorithm is able to prepare general pure and mixed many-particle states of any number of particl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Reviews of Modern Physics
سال: 2021
ISSN: ['0034-6861', '1539-0756', '1538-4527']
DOI: https://doi.org/10.1103/revmodphys.93.015008