We develop spectral theory for the generator of the q-Boson (stochastic) particle system. Our central result is a Plancherel type isomorphism theorem for this system. This theorem has various implications. It proves the completeness of the Bethe ansatz for the q-Boson generator and consequently enables us to solve the Kolmogorov forward and backward equations for general initial data. Owing to a Markov duality with q-TASEP (q-deformed totally asymmetric simple exclusion process), this leads to moment formulas which characterize the fixed time distribution of q-TASEP started from general initial conditions. The theorem also implies the biorthogonality of the left and right eigenfunctions. We consider limits of our q-Boson results to a discre...
We develop a general technique, based on a Bochner-type identity, to estimate spectral gaps of a cla...
SIGLEAvailable at INIST (FR), Document Supply Service, under shelf-number : RP 14217 / INIST-CNRS - ...
We investigate spectral statistics in spatially extended, chaotic many-body quantum systems with a c...
We develop spectral theory for the q-Hahn stochastic particle system introduced recently by Povolots...
We introduce two new exactly solvable (stochastic) interacting particle systems which are discrete t...
International audienceThe Bose distribution for a gas of nonrelativistic free bosons is derived in t...
We prove duality relations for two interacting particle systems: the q-deformed totally asymmetric s...
We extend the formalism of the thermodynamic two-time Green’s functions to nonextensive quantum stat...
12 pages, revised Tex File (some fonts were changed)This paper is concerned with statistical propert...
The thermodynamic properties of a q-generalized ideal boson system with the general energy spectrum ...
We introduce a new method for analysing the Bose-Hubbard model for an array of boson sites with near...
We show that Frenkel excitons can constitute a q-deformed boson gas in the high-density limit. Withi...
The qq-bit is the q-deformation of the q-bit. It arises canonically from the quantum decomposition o...
We study spectral form factor in periodically-kicked bosonic chains. We consider a family of models ...
We discuss some recent results on quantum Markov semigroups whose GKLS (Gorini-Kossakowski-Lindblad...
We develop a general technique, based on a Bochner-type identity, to estimate spectral gaps of a cla...
SIGLEAvailable at INIST (FR), Document Supply Service, under shelf-number : RP 14217 / INIST-CNRS - ...
We investigate spectral statistics in spatially extended, chaotic many-body quantum systems with a c...
We develop spectral theory for the q-Hahn stochastic particle system introduced recently by Povolots...
We introduce two new exactly solvable (stochastic) interacting particle systems which are discrete t...
International audienceThe Bose distribution for a gas of nonrelativistic free bosons is derived in t...
We prove duality relations for two interacting particle systems: the q-deformed totally asymmetric s...
We extend the formalism of the thermodynamic two-time Green’s functions to nonextensive quantum stat...
12 pages, revised Tex File (some fonts were changed)This paper is concerned with statistical propert...
The thermodynamic properties of a q-generalized ideal boson system with the general energy spectrum ...
We introduce a new method for analysing the Bose-Hubbard model for an array of boson sites with near...
We show that Frenkel excitons can constitute a q-deformed boson gas in the high-density limit. Withi...
The qq-bit is the q-deformation of the q-bit. It arises canonically from the quantum decomposition o...
We study spectral form factor in periodically-kicked bosonic chains. We consider a family of models ...
We discuss some recent results on quantum Markov semigroups whose GKLS (Gorini-Kossakowski-Lindblad...
We develop a general technique, based on a Bochner-type identity, to estimate spectral gaps of a cla...
SIGLEAvailable at INIST (FR), Document Supply Service, under shelf-number : RP 14217 / INIST-CNRS - ...
We investigate spectral statistics in spatially extended, chaotic many-body quantum systems with a c...