Results 21 to 30 of about 5,161,923 (254)

A boundedness criterion for singular integral operators of convolution type on the Fock space [PDF]

Advances in Mathematics, 2019
We show that for an entire function $\varphi$ belonging to the Fock space ${\mathscr F}^2(\mathbb{C}^n)$ on the complex Euclidean space $\mathbb{C}^n$, the integral operator \begin{eqnarray*} S_{\varphi}F(z)=\int_{\mathbb{C}^n} F(w) e^{z \cdot\bar{w ...
G. Cao, Ji Li, Minxing Shen, B. Wick, Lixin Yan   +4 more
semanticscholar   +1 more source

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   +1 more source

Dynamics of strongly interacting systems: From Fock-space fragmentation to many-body localization [PDF]

Physical review B, 2019
We study the $t\text{\ensuremath{-}}V$ disordered spinless fermionic chain in the strong-coupling regime, $t/V\ensuremath{\rightarrow}0$. Strong interactions highly hinder the dynamics of the model, fragmenting its Hilbert space into exponentially many ...
Giuseppe De Tomasi, Daniel Hetterich, Pablo Sala, F. Pollmann   +3 more
semanticscholar   +1 more source

Hankel operators between different doubling Fock spaces

Journal of Inequalities and Applications, 2022
In this paper, we study Hankel operators on the doubling Fock spaces for all possible 1 ≤ p , q < ∞ $1\leq p ...
Jianjun Chen, Guangxia Xu
doaj   +1 more source

Topological transitivity of translation operators in a non-separable Hilbert space

Karpatsʹkì Matematičnì Publìkacìï, 2023
We consider a Hilbert space of entire analytic functions on a non-separable Hilbert space, associated with a non-separable Fock space. We show that under some conditions operators, like the differentiation operators and translation operators, are ...
Z.H. Novosad
doaj   +1 more source

General Criterion for Non-Hermitian Skin Effects and Application: Fock Space Skin Effects in Many-Body Systems. [PDF]

Physical Review Letters
Non-Hermiticity enables macroscopic accumulation of bulk states, named non-Hermitian skin effects. The non-Hermitian skin effects are well established for single-particle systems, but their proper characterization for general systems is elusive. Here, we
Kenji Shimomura, Masatoshi Sato
semanticscholar   +1 more source

Asymptotic States and S-Matrix Operator in de Sitter Ambient Space Formalism

Universe, 2023
Within the de Sitter ambient space framework, the two different bases of the one-particle Hilbert space of the de Sitter group algebra are presented for the scalar case.
Mohammad Vahid Takook, Jean-Pierre Gazeau, Eric Huguet   +2 more
doaj   +1 more source

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   +1 more source

Finite-Field Calculations of Transition Properties by the Fock Space Relativistic Coupled Cluster Method: Transitions between Different Fock Space Sectors

Symmetry, 2020
Reliable information on transition matrix elements of various property operators between molecular electronic states is of crucial importance for predicting spectroscopic, electric, magnetic and radiative properties of molecules.
A. Zaitsevskii, A. Oleynichenko, E. Eliav   +2 more
semanticscholar   +1 more source

Many-body localization in Fock space: A local perspective [PDF]

Physical review B, 2018
A canonical model for many-body localization (MBL) is studied, of interacting spinless fermions on a lattice with uncorrelated quenched site-disorder. The model maps onto a tight-binding model on a `Fock-space (FS) lattice' of many-body states, with an ...
D. E. Logan, S. Welsh
semanticscholar   +1 more source