scholarly journals Dynamics of entanglement among the environment oscillators of a many-body system

2016 ◽  
Vol 30 (17) ◽  
pp. 1650222
Author(s):  
A. L. de Paula ◽  
Dagoberto S. Freitas
Keyword(s):  
Harmonic Oscillator ◽  
Dynamical Problem ◽  
Body System ◽  
Entanglement Dynamics ◽  
Many Body ◽  
Present Contribution ◽  
Dynamical Properties ◽  
Main Oscillator

In this work, we extend the discussion that began in Ref. 16 [A. L. de Paula, Jr., J. G. G. de Oliveira, Jr., J. G. P. de Faria, D. S. Freitas and M. C. Nemes, Phys. Rev. A 89 (2014) 022303] to deal with the dynamics of the concurrence of a many-body system. In that previous paper, the discussion was focused on the residual entanglement between the partitions of the system. The purpose of the present contribution is to shed some light on the dynamical properties of entanglement among the environment oscillators. We consider a system consisting of a harmonic oscillator linearly coupled to N others and solve the corresponding dynamical problem analytically. We divide the environment into two arbitrary partitions and the entanglement dynamics between any of these partitions is quantified and it shows that in the case when excitations in each partition are equal, the concurrence reaches the value 1 and the two partitions of the environment are maximally entangled. For long times, the excitations of the main oscillator are completely transferred to environment and the environment oscillators are found entangled.

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.

scholarly journals Probing the edge between integrability and quantum chaos in interacting few-atom systems

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 486
Author(s):  
Thomás Fogarty ◽  
Miguel Ángel García-March ◽  
Lea F. Santos ◽  
Nathan L. Harshman
Keyword(s):  
Quantum Chaos ◽  
Cold Atoms ◽  
Quantum Systems ◽  
Particle Interactions ◽  
Body System ◽  
Many Body ◽  
One Dimensional ◽  
The Core ◽  
Emergence Of Chaos ◽  
Number Of Particles

Interacting quantum systems in the chaotic domain are at the core of various ongoing studies of many-body physics, ranging from the scrambling of quantum information to the onset of thermalization. We propose a minimum model for chaos that can be experimentally realized with cold atoms trapped in one-dimensional multi-well potentials. We explore the emergence of chaos as the number of particles is increased, starting with as few as two, and as the number of wells is increased, ranging from a double well to a multi-well Kronig-Penney-like system. In this way, we illuminate the narrow boundary between integrability and chaos in a highly tunable few-body system. We show that the competition between the particle interactions and the periodic structure of the confining potential reveals subtle indications of quantum chaos for 3 particles, while for 4 particles stronger signatures are seen. The analysis is performed for bosonic particles and could also be extended to distinguishable fermions.

scholarly journals Characterization of an operational quantum resource in a critical many-body system

2020 ◽  
Vol 22 (8) ◽  
pp. 083077
Author(s):  
S Sarkar ◽  
C Mukhopadhyay ◽  
A Bayat
Keyword(s):  
Body System ◽  
Many Body
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