Toeplitz quantization on Fock space [PDF]
Journal of Functional Analysis, 2018 For Toeplitz operators $T_f^{(t)}$ acting on the weighted Fock space $H_t^2$, we consider the semi-commutator $T_f^{(t)}T_g^{(t)}-T_{fg}^{(t)}$, where $t>0$ is a certain weight parameter that may be interpreted as Planck's constant $\hbar$ in Rieffel's deformation quantization.
Bauer, Wolfram +2 more
openaire +4 more sources
Invertible Weighted Composition Operators on the Fock Space of CN
Journal of Function Spaces, 2015 We give a complete characterization of bounded invertible weighted composition operators on the Fock space of CN.
Liankuo Zhao
doaj +2 more sources
Observation of many-body Fock space dynamics in two dimensions [PDF]
Nature Physics, 2022 Quantum simulation provides platforms to study fundamental aspects of many-body physics in a controlled way, and to explore their implications for quantum technology.
Yu-Xiang Yao +27 more
semanticscholar +1 more source
Scaling of the Fock-space propagator and multifractality across the many-body localization transition [PDF]
Physical review B, 2022 We implement a recursive Green function method to extract the Fock space (FS) propagator and associated self-energy across the many-body localization (MBL) transition, for one-dimensional interacting fermions in a random onsite potential.
J. Sutradhar +5 more
semanticscholar +1 more source
Fock-space anatomy of eigenstates across the many-body localization transition [PDF]
Physical review B, 2021 We explore the Fock-space structure of eigenstates across the many-body localisation (MBL) transition in a disordered, interacting quantum spin-1/2 chain.
Sthitadhi Roy, D. E. Logan
semanticscholar +1 more source
Rare thermal bubbles at the many-body localization transition from the Fock space point of view [PDF]
Physical review B, 2020 In this work we study the many-body localization (MBL) transition and relate it to the eigenstate structure in the Fock space. Besides the standard entanglement and multifractal probes, we introduce the radial probability distribution of eigenstate ...
Giuseppe De Tomasi +3 more
semanticscholar +1 more source
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, R. Martin, E. Shamovich
semanticscholar +1 more source
Constrained Variational Quantum Eigensolver: Quantum Computer Search Engine in the Fock Space. [PDF]
Journal of Chemical Theory and Computation, 2018 Variational quantum eigensolver (VQE) is an efficient computational method promising chemical accuracy in electronic structure calculations on a universal-gate quantum computer. However, such a simple task as computing the electronic energy of a hydrogen
I. G. Ryabinkin +2 more
semanticscholar +1 more source
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 +1 more source
Completely positive maps for imprimitive complex reflection groups
Karpatsʹkì Matematičnì Publìkacìï, 2021 In 1994, M. Bożejko and R. Speicher proved the existence of completely positive quasimultiplicative maps from the group algebra of Coxeter groups to the set of bounded operators.
H. Randriamaro
doaj +1 more source