Dynamics of an anharmonic oscillator that is harmonically coupled to a many-body system and the notion of an appropriate heat bath

1998 ◽  
Vol 57 (1) ◽  
pp. 224-229 ◽  
Author(s):  
Donald P. Visco ◽  
Surajit Sen
Keyword(s):  
Anharmonic Oscillator ◽  
Heat Bath ◽  
Body System ◽  
Many Body

Wave equation for dissipative motion

1991 ◽  
Vol 69 (10) ◽  
pp. 1225-1232 ◽  
Author(s):  
M. Razavy
Keyword(s):  
Wave Equation ◽  
Single Particle ◽  
Equations Of Motion ◽  
Dissipative System ◽  
Heat Bath ◽  
Initial Position ◽  
Time Dependent ◽  
Reduced Form ◽  
Body System ◽  
Many Body

From a quantized many-body system a wave equation for the motion of a particle linearly coupled to a heat bath is derived. The effective Hamiltonian describing the motion of the single particle is explicitly time dependent, and for a quadratic potential, has a simple dependence on the initial position and momentum of the particle. For the case of dissipative harmonic motion, a time-dependent wave equation is derived and the ground-state wave function is determined. It is also shown that if the equations of motion for the many-body system is Galilean invariant, the reduced form of equation of motion for the single particle is not. However a generalized form of transformation for the position and momentum operators, to a coordinate system moving with constant velocity, is obtained, which reduces to the Galilean transformation when the coupling to the dissipative system is turned off.

scholarly journals Bounding the resources for thermalizing many-body localized systems

2021 ◽  
Vol 4 (1) ◽  
Author(s):  
Carlo Sparaciari ◽  
Marcel Goihl ◽  
Paul Boes ◽  
Jens Eisert ◽  
Nelly Huei Ying Ng
Keyword(s):  
Heat Bath ◽  
Quantum Systems ◽  
External Heat ◽  
Upper And Lower Bounds ◽  
Body System ◽  
Heisenberg Chain ◽  
Many Body ◽  
Physical Systems ◽  
Collision Models ◽  
Standing Question

AbstractUnderstanding under which conditions physical systems thermalize is a long-standing question in many-body physics. While generic quantum systems thermalize, there are known instances where thermalization is hindered, for example in many-body localized (MBL) systems. Here we introduce a class of stochastic collision models coupling a many-body system out of thermal equilibrium to an external heat bath. We derive upper and lower bounds on the size of the bath required to thermalize the system via such models, under certain assumptions on the Hamiltonian. We use these bounds, expressed in terms of the max-relative entropy, to characterize the robustness of MBL systems against externally-induced thermalization. Our bounds are derived within the framework of resource theories using the convex split lemma, a recent tool developed in quantum information. We apply our results to the disordered Heisenberg chain, and numerically study the robustness of its MBL phase in terms of the required bath size.

scholarly journals Using Matrix-Product States for Open Quantum Many-Body Systems: Efficient Algorithms for Markovian and Non-Markovian Time-Evolution

Entropy ◽  
2020 ◽  
Vol 22 (9) ◽  
pp. 984
Author(s):  
Regina Finsterhölzl ◽  
Manuel Katzer ◽  
Andreas Knorr ◽  
Alexander Carmele
Keyword(s):  
Time Evolution ◽  
Nearest Neighbor ◽  
Matrix Product ◽  
Body System ◽  
Many Body ◽  
Initial State ◽  
Matrix Product States ◽  
Open Quantum ◽  
Many Body Systems ◽  
The Many

This paper presents an efficient algorithm for the time evolution of open quantum many-body systems using matrix-product states (MPS) proposing a convenient structure of the MPS-architecture, which exploits the initial state of system and reservoir. By doing so, numerically expensive re-ordering protocols are circumvented. It is applicable to systems with a Markovian type of interaction, where only the present state of the reservoir needs to be taken into account. Its adaption to a non-Markovian type of interaction between the many-body system and the reservoir is demonstrated, where the information backflow from the reservoir needs to be included in the computation. Also, the derivation of the basis in the quantum stochastic Schrödinger picture is shown. As a paradigmatic model, the Heisenberg spin chain with nearest-neighbor interaction is used. It is demonstrated that the algorithm allows for the access of large systems sizes. As an example for a non-Markovian type of interaction, the generation of highly unusual steady states in the many-body system with coherent feedback control is demonstrated for a chain length of N=30.

Equilibration of an isolated quantum many-body system

Physics Today ◽  
2013 ◽  
Vol 66 (11) ◽  
pp. 18-18
Author(s):  
Richard J. Fitzgerald
Keyword(s):  
Body System ◽  
Many Body

Mesonic and isobar degrees of freedom in the ground state of the nuclear many-body system

1978 ◽  
Vol 18 (5) ◽  
pp. 2416-2429 ◽  
Author(s):  
M. R. Anastasio ◽  
Amand Faessler ◽  
H. Müther ◽  
K. Holinde ◽  
R. Machleidt
Keyword(s):  
Ground State ◽  
Degrees Of Freedom ◽  
Body System ◽  
Many Body

scholarly journals Probing quantum and thermal noise in an interacting many-body system

2008 ◽  
Vol 4 (6) ◽  
pp. 489-495 ◽  
Author(s):  
S. Hofferberth ◽  
I. Lesanovsky ◽  
T. Schumm ◽  
A. Imambekov ◽  
V. Gritsev ◽  
...  
Keyword(s):  
Thermal Noise ◽  
Body System ◽  
Many Body

A REMARK ON THE DEVELOPMENT OF THE CLUSTER DYNAMICS IN NUCLEAR MANY BODY SYSTEM

2009 ◽  
Vol 24 (11) ◽  
pp. 2198-2204
Author(s):  
KIYOMI IKEDA
Keyword(s):  
Model Theory ◽  
Cluster Model ◽  
Structure Study ◽  
Body System ◽  
Many Body ◽  
History Of

We present a brief history of the structure study of 16 O as a typical example in the development of the cluster model theory over 50 years.

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