scholarly journals Trapped bosons, thermodynamic limit, and condensation: A study in the framework of resolvent algebras

2021 ◽  
Vol 62 (4) ◽  
pp. 041903
Author(s):  
Dorothea Bahns ◽  
Detlev Buchholz
Keyword(s):  
Thermodynamic Limit ◽  
Trapped Bosons

scholarly journals Entangling Lattice-Trapped Bosons with a Free Impurity: Impact on Stationary and Dynamical Properties

Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 290
Author(s):  
Maxim Pyzh ◽  
Kevin Keiler ◽  
Simeon I. Mistakidis ◽  
Peter Schmelcher
Keyword(s):  
Structural Changes ◽  
Many Body ◽  
Wide Range ◽  
Entropy Measures ◽  
Particle Level ◽  
The Many ◽  
The One ◽  
Tunneling Dynamics ◽  
The Individual ◽  
Trapped Bosons

We address the interplay of few lattice trapped bosons interacting with an impurity atom in a box potential. For the ground state, a classification is performed based on the fidelity allowing to quantify the susceptibility of the composite system to structural changes due to the intercomponent coupling. We analyze the overall response at the many-body level and contrast it to the single-particle level. By inspecting different entropy measures we capture the degree of entanglement and intraspecies correlations for a wide range of intra- and intercomponent interactions and lattice depths. We also spatially resolve the imprint of the entanglement on the one- and two-body density distributions showcasing that it accelerates the phase separation process or acts against spatial localization for repulsive and attractive intercomponent interactions, respectively. The many-body effects on the tunneling dynamics of the individual components, resulting from their counterflow, are also discussed. The tunneling period of the impurity is very sensitive to the value of the impurity-medium coupling due to its effective dressing by the few-body medium. Our work provides implications for engineering localized structures in correlated impurity settings using species selective optical potentials.

Thermodynamic limit to light trapping in thin planar structures

1997 ◽  
Vol 14 (11) ◽  
pp. 3001 ◽  
Author(s):  
Howard R. Stuart ◽  
Dennis G. Hall
Keyword(s):  
Thermodynamic Limit ◽  
Light Trapping ◽  
Planar Structures

What good is the thermodynamic limit?

2004 ◽  
Vol 72 (1) ◽  
pp. 25-29 ◽  
Author(s):  
Daniel F. Styer
Keyword(s):  
Thermodynamic Limit

scholarly journals Thermodynamic limit of correlation functions in a system of gravitating fermions

1976 ◽  
Vol 48 (3) ◽  
pp. 207-213 ◽  
Author(s):  
Bernhard Baumgartner
Keyword(s):  
Thermodynamic Limit ◽  
Correlation Functions

scholarly journals Ground state entropy of Potts antiferromagnets and the approach to the two-dimensional thermodynamic limit

1998 ◽  
Vol 58 (4) ◽  
pp. 4332-4339 ◽  
Author(s):  
Robert Shrock ◽  
Shan-Ho Tsai
Keyword(s):  
Thermodynamic Limit ◽  
Ground State ◽  
Two Dimensional ◽  
State Entropy ◽  
Ground State Entropy

METASTABLE STATES IN THE HOPFIELD MODEL

1990 ◽  
Vol 04 (01) ◽  
pp. 143-150 ◽  
Author(s):  
CLAUDIO PROCESI ◽  
BRUNELLO TIROZZI
Keyword(s):  
Free Energy ◽  
Finite Number ◽  
Thermodynamic Limit ◽  
Metastable States ◽  
Hopfield Model ◽  
Zero Temperature

We describe the properties of the free energy of the Hopfield model with a finite number of patterns and describe its dynamic at zero temperature in the space of overlaps in the thermodynamic limit.

Thermodynamic limit and central limit theorem for point random fields in non-ergodic case

1988 ◽  
Vol 26 (1) ◽  
pp. 1-15
Author(s):  
Krystyna Parczyk ◽  
Tomasz Masłowski
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Thermodynamic Limit ◽  
Random Fields
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