scholarly journals Analytical expression for a post-quench time evolution of the one-body density matrix of one-dimensional hard-core bosons

2014 ◽  
Vol 2014 (12) ◽  
pp. P12012 ◽  
Author(s):  
J De Nardis ◽  
J-S Caux
Keyword(s):  
Density Matrix ◽  
Time Evolution ◽  
Hard Core ◽  
Body Density ◽  
One Dimensional ◽  
Analytical Expression ◽  
The One ◽  
Quench Time

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.

scholarly journals Insights into one-body density matrices using deep learning

2020 ◽  
Vol 224 ◽  
pp. 265-291 ◽  
Author(s):  
Jack Wetherell ◽  
Andrea Costamagna ◽  
Matteo Gatti ◽  
Lucia Reining
Keyword(s):  
Deep Learning ◽  
Density Matrix ◽  
Reduced Density Matrix ◽  
Body Density ◽  
Density Matrices ◽  
Learning Constraints ◽  
The One ◽  
Reduced Density

Deep-learning constraints of the one-body reduced density matrix from its compressibility to enable efficient determination of key observables.

scholarly journals Extended Thomas–Fermi approximation to the one-body density matrix

2000 ◽  
Vol 665 (3-4) ◽  
pp. 291-317 ◽  
Author(s):  
V.B. Soubbotin ◽  
X. Viñas
Keyword(s):  
Density Matrix ◽  
Body Density ◽  
Thomas Fermi ◽  
The One

Dependence of the one-body density matrix on the superconducting gap parameter Δ(T)

1992 ◽  
Vol 46 (14) ◽  
pp. 9237-9239
Author(s):  
William L. Clinton ◽  
Louis J. Massa ◽  
Sipra Pal
Keyword(s):  
Density Matrix ◽  
Superconducting Gap ◽  
Body Density ◽  
The One ◽  
Gap Parameter

scholarly journals Time evolution of the one-dimensional Jaynes-Cummings-Hubbard Hamiltonian

2009 ◽  
Vol 80 (4) ◽  
Author(s):  
M. I. Makin ◽  
Jared H. Cole ◽  
Charles D. Hill ◽  
Andrew D. Greentree ◽  
Lloyd C. L. Hollenberg
Keyword(s):  
Time Evolution ◽  
One Dimensional ◽  
Hubbard Hamiltonian ◽  
The One

scholarly journals Extended Conformal Symmetry of the One-Dimensional Bose Gas

1997 ◽  
Vol 12 (29) ◽  
pp. 2153-2159 ◽  
Author(s):  
Milena Maule ◽  
Stefano Sciuto
Keyword(s):  
Cartan Subalgebra ◽  
Conformal Symmetry ◽  
Hard Core ◽  
Bose Gas ◽  
Effective Hamiltonian ◽  
Coupling Constant ◽  
Free Fermions ◽  
One Dimensional ◽  
First Order ◽  
The One

We show that the low-lying excitations of the one-dimensional Bose gas are described, at all orders in a 1/N expansion and at the first order in the inverse of the coupling constant, by an effective Hamiltonian written in terms of an extended conformal algebra, namely the Cartan subalgebra of the [Formula: see text] algebra. This enables us to construct the first interaction term which corrects the Hamiltonian of the free fermions equivalent to a hard-core boson system.

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