Results 11 to 20 of about 5,233,673 (285)

Fock-space correlations and the origins of many-body localization [PDF]

Physical review B, 2019
We consider the problem of many-body localisation on Fock space, focussing on the essential features of the Hamiltonian which stabilise a localised phase. Any many-body Hamiltonian has a canonical representation as a disordered tight-binding model on the
Sthitadhi Roy, D. E. Logan
semanticscholar   +3 more sources

Many-body localization due to correlated disorder in Fock space [PDF]

Physical review B, 2019
In presence of strong enough disorder one dimensional systems of interacting spinless fermions at non-zero filling factor are known to be in a many body localized phase.
Soumik Ghosh, Atithi Acharya, S. Sahu, S. Mukerjee   +3 more
semanticscholar   +2 more sources

The Fock-space landscape of many-body localisation [PDF]

Journal of Physics: Condensed Matter
This article reviews recent progress in understanding the physics of many-body localisation (MBL) in disordered and interacting quantum many-body systems, from the perspective of ergodicity breaking on the associated Fock space.
Sthitadhi Roy, David E. Logan
semanticscholar   +3 more sources

On the Fock Kernel for the Generalized Fock Space and Generalized Hypergeometric Series

Journal of Function Spaces, 2021
In this paper, we compute the reproducing kernel Bm,αz,w for the generalized Fock space Fm,α2ℂ. The usual Fock space is the case when m=2. We express the reproducing kernel in terms of a suitable hypergeometric series  1Fq.
Jong-Do Park
doaj   +2 more sources

Role of Fock-space correlations in many-body localization [PDF]

Physical review B
Models of many-body localization (MBL) can be represented as tight-binding models in the many-body Hilbert space (Fock space). We explore the role of correlations between matrix elements of the effective Fock-space Hamiltonians in the scaling of MBL ...
Thibault Scoquart, I. Gornyi, A. Mirlin
semanticscholar   +3 more sources

Linear differential equations with coefficients in Fock type space [PDF]

Electronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper we deal with complex differential equations of the form \begin{eqnarray*} f^{(k)}+a_{k-1}(z)f^{(k-1)}+\cdot\cdot\cdot+a_{1}(z)f^{'}+a_{0}(z)f=0 \end{eqnarray*} with the coefficients in Fock type space.
Xiang Dong Yang, Jin Tu
doaj   +2 more sources

Reconstructing configurational Hamiltonians from Fock space

Nuclear Physics B
We present a unified operator-based framework for reconstructing configuration-space Hamiltonians directly from their Fock-space formulations. This approach clarifies how local dynamics and geometric structure emerge from global quantum operator algebras.
Davood Momeni
doaj   +2 more sources

Non-commutative rational functions in the full Fock space [PDF]

Transactions of the American Mathematical Society, 2020
A rational function belongs to the Hardy space, $H^2$, of square-summable power series if and only if it is bounded in the complex unit disk. Any such rational function is necessarily analytic in a disk of radius greater than one.
M. Jury, Robert T. W. Martin, E. Shamovich   +2 more
semanticscholar   +1 more source

Factorization and reflexivity on Fock spaces [PDF]

Integral Equations and Operator Theory, 1995
The framework of the paper is that of the full Fock space ${\Cal F}^2({\Cal H}_n)$ and the Banach algebra $F^\infty$ which can be viewed as non-commutative analogues of the Hardy spaces $H^2$ and $H^\infty$ respectively. An inner-outer factorization for any element in ${\Cal F}^2({\Cal H}_n)$ as well as characterization of invertible elements in $F ...
Arias, Alvaro, Popescu, Gelu
openaire   +2 more sources

Variable exponent Fock spaces [PDF]

Czechoslovak Mathematical Journal, 2019
In this article we introduce Variable exponent Fock spaces and study some of their basic properties such as the boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality.
Chacón, Gerardo R., Chacón, Gerardo A.
openaire   +3 more sources