scholarly journals On the Correlation Energy of Interacting Fermionic Systems in the Mean-Field Regime

2020 ◽  
Vol 374 (2) ◽  
pp. 485-524 ◽  
Author(s):  
Christian Hainzl ◽  
Marcello Porta ◽  
Felix Rexze
Keyword(s):  
Correlation Energy ◽  
Mean Field ◽  
Fermionic Systems ◽  
The Mean ◽  
Mean Field Regime

scholarly journals Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime

2019 ◽  
Vol 374 (3) ◽  
pp. 2097-2150 ◽  
Author(s):  
Niels Benedikter ◽  
Phan Thành Nam ◽  
Marcello Porta ◽  
Benjamin Schlein ◽  
Robert Seiringer
Keyword(s):  
Upper Bound ◽  
Correlation Energy ◽  
Mean Field ◽  
Fermi Gas ◽  
The Mean ◽  
Mean Field Regime

scholarly journals Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas

2021 ◽  
Vol 60 (3) ◽  
Author(s):  
Phan Thành Nam ◽  
Marcin Napiórkowski
Keyword(s):  
Density Matrix ◽  
Ground State ◽  
Mean Field ◽  
Interaction Strength ◽  
Bose Gas ◽  
Body Density ◽  
The Mean ◽  
The One ◽  
Mean Field Regime ◽  
Number Of Particles

AbstractWe consider the homogeneous Bose gas on a unit torus in the mean-field regime when the interaction strength is proportional to the inverse of the particle number. In the limit when the number of particles becomes large, we derive a two-term expansion of the one-body density matrix of the ground state. The proof is based on a cubic correction to Bogoliubov’s approximation of the ground state energy and the ground state.

FLUCTUATION CONDUCTIVITY EFFECTS ON THERMOELECTRIC POWER OF GRANULAR Bi1.75Pb0.25Ca2Sr2Cu3O10 SUPERCONDUCTOR

1989 ◽  
Vol 03 (03) ◽  
pp. 241-248 ◽  
Author(s):  
CH. LAURENT ◽  
S.K. PATAPIS ◽  
S.M. GREEN ◽  
H.L. LUO ◽  
C. POLITIS ◽  
...  
Keyword(s):  
Electrical Resistivity ◽  
High Temperature ◽  
Thermoelectric Power ◽  
High Temperature Superconductivity ◽  
Mean Field ◽  
Temperature Derivative ◽  
Fluctuation Conductivity ◽  
Straight Line ◽  
The Mean ◽  
Mean Field Regime

We report precise measurements of the thermoelectric power (TEP) of granular superconducting Bi 1.75 Pb 0.25 Ca 2 Sr 2 Cu 3 O 10. The TEP is strictly linear at high temperature. Superconductivity fluctuations set in at about 140 K. From the temperature derivative of the excess TEP (with respect to a straight line at “high temperature”), the critical behavior is obtained in the mean field regime, and is found identical to that of the temperature derivative of the excess electrical resistivity.

EXCESS CONDUCTIVITY IN THE MEAN FIELD AND PARACOHERENCE REGIMES OF (La1.6Y0.4)Ba2Ca0.8Cu4.8Oz SUPERCONDUCTORS

2006 ◽  
Vol 20 (02n03) ◽  
pp. 111-122 ◽  
Author(s):  
P. K. NAYAK ◽  
S. RAVI
Keyword(s):  
Heisenberg Model ◽  
Order Parameter ◽  
Mean Field ◽  
Excess Conductivity ◽  
Temperature Variations ◽  
Phase Fluctuations ◽  
Higher Temperature ◽  
The Mean ◽  
Breaking Time ◽  
Mean Field Regime

The temperature variations of electrical resistivity have been measured on pure and 5 wt% Ag doped ( La 1.6 Y 0.4) Ba 2 Ca 0.8 Cu 4.8 O z superconductors. These data were analyzed in terms of fluctuation-induced excess conductivity in the mean field regime by using the Aslamazov–Larkin (AL), Lawrence–Doniach (LD) and Maki–Thompson (MT) models. The fluctuations in the amplitude of order parameter are found to be two dimensional in nature in the mean field region. The estimated values of the average phase breaking time τϕ (100 K) are found to be 3.9×10-16 s and 4.6×10-16 s for pure and Ag doped samples respectively. The resistivity data were also analyzed in terms of excess conductivity due to phase fluctuations of the order parameter in the paracoherence region. The critical exponent is found to be mostly comparable to that of the 3D XY ferromagnet in the vicinity of zero resistivity temperature and the diluted Heisenberg model at a higher temperature.

scholarly journals Fluctuations around Hartree states in the mean-field regime

2015 ◽  
Vol 137 (6) ◽  
pp. 1613-1650 ◽  
Author(s):  
Mathieu Lewin ◽  
Phan Thành Nam ◽  
Benjamin Schlein
Keyword(s):  
Mean Field ◽  
The Mean ◽  
Mean Field Regime

scholarly journals Finite-size critical scaling in Ising spin glasses in the mean-field regime

2016 ◽  
Vol 93 (3) ◽  
Author(s):  
T. Aspelmeier ◽  
Helmut G. Katzgraber ◽  
Derek Larson ◽  
M. A. Moore ◽  
Matthew Wittmann ◽  
...  
Keyword(s):  
Spin Glasses ◽  
Mean Field ◽  
Finite Size ◽  
Critical Scaling ◽  
Ising Spin ◽  
The Mean ◽  
Mean Field Regime

scholarly journals A Large Deviation Principle in Many-Body Quantum Dynamics

2021 ◽  
Author(s):  
Kay Kirkpatrick ◽  
Simone Rademacher ◽  
Benjamin Schlein
Keyword(s):  
Quantum Dynamics ◽  
Limit Theorems ◽  
Large Deviation ◽  
Mean Field ◽  
Quantum Evolution ◽  
Many Body ◽  
Many Body Quantum Dynamics ◽  
The Mean ◽  
The Many ◽  
Mean Field Regime

AbstractWe consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates that are consistent with central limit theorems that have been established in the last years.

scholarly journals Scaling Limit of the Stein Variational Gradient Descent: The Mean Field Regime

2019 ◽  
Vol 51 (2) ◽  
pp. 648-671 ◽  
Author(s):  
Jianfeng Lu ◽  
Yulong Lu ◽  
James Nolen
Keyword(s):  
Gradient Descent ◽  
Scaling Limit ◽  
Mean Field ◽  
The Mean ◽  
Mean Field Regime
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