A novel method to determine the density and temperature of a system based on quantum Fermionic fluctuations is generalized to the limit where the reached temperature $T$ is large compared to the Fermi energy ${\ensuremath{\varepsilon}}_{f}$. Quadrupole and particle multiplicity fluctuation relations are derived in terms of $\frac{T}{{\ensuremath{\varepsilon}}_{f}}$. The relevant Fermi integrals are numerically solved for any values of $\frac{T}{{\ensuremath{\varepsilon}}_{f}}$ and compared to the analytical approximations. The classical limit is obtained, as expected, for large temperatures and low densities. The entropy can also be easily derived from quantum fluctuations and gives important insight into the behavior of the system near a phase transition.A novel method to determine the density and temperature of a system based on quantum Fermionic fluctuations is generalized to the limit where the reached temperature $T$ is large compared to the Fermi energy ${\ensuremath{\varepsilon}}_{f}$. Quadrupole and particle multiplicity fluctuation relations are derived in terms of $\frac{T}{{\ensuremath{\varepsilon}}_{f}}$. The relevant Fermi integrals are numerically solved for any values of $\frac{T}{{\ensuremath{\varepsilon}}_{f}}$ and compared to the analytical approximations. The classical limit is obtained, as expected, for large temperatures and low densities. The entropy can also be easily derived from quantum fluctuations and gives important insight into the behavior of the system near a phase transition.

arXiv:1112.4098Physical Review CAug 31, 201224 citations

Dynamical Properties of Strongly Correlated Fermionic Systems

Stephan Haas

Jan 1, 19951 citation

Finite-Size Effects of a Many-Fermion System

Marc R. Curry

Jan 1, 19900 citations

Open Quantum Symmetric Simple Exclusion Process

Denis Bernard, Tony Jin

We present the solution to a model of fermions hopping between neighboring sites on a line with random Brownian amplitudes and open boundary conditions driving the system out of equilibrium. The average dynamics reduces to that of the symmetric simple exclusion process. However, the full distribution encodes for a richer behavior, entailing fluctuating quantum coherences which survive in the steady limit. We determine exactly the steady statistical distribution of the system state. We show that the out-of-equilibrium quantum coherence fluctuations satisfy a large-deviation principle, and we present a method to recursively compute exactly the large-deviation function. As a by-product, our approach gives a solution of the classical symmetric simple exclusion process based on fermion technology. Our results open the route towards the extension of the macroscopic fluctuation theory to many-body quantum systems.We present the solution to a model of fermions hopping between neighboring sites on a line with random Brownian amplitudes and open boundary conditions driving the system out of equilibrium. The average dynamics reduces to that of the symmetric simple exclusion process. However, the full distribution encodes for a richer behavior, entailing fluctuating quantum coherences which survive in the steady limit. We determine exactly the steady statistical distribution of the system state. We show that the out-of-equilibrium quantum coherence fluctuations satisfy a large-deviation principle, and we present a method to recursively compute exactly the large-deviation function. As a by-product, our approach gives a solution of the classical symmetric simple exclusion process based on fermion technology. Our results open the route towards the extension of the macroscopic fluctuation theory to many-body quantum systems.

arXiv:1904.01406Physical Review LettersAug 21, 201980 citations

A novel method to determine the density and temperature of a system based on quantum Fermionic fluctuations is generalized to the limit where the reached temperature

T

is large compared to the Fermi energy ${\ensuremath{\varepsilon}}_{f}$. Quadrupole and particle multiplicity fluctuation relations are derived in terms of $\frac{T}{{\ensuremath{\varepsilon}}_{f}}$. The relevant Fermi integrals are numerically solved for any values of $\frac{T}{{\ensuremath{\varepsilon}}_{f}}$ and compared to the analytical approximations. The classical limit is obtained, as expected, for large temperatures and low densities. The entropy can also be easily derived from quantum fluctuations and gives important insight into the behavior of the system near a phase transition.