Results 1 to 10 of about 4,792,820 (293)

Hilbert-Space Fragmentation from Strict Confinement. [PDF]

open access: yesPhys Rev Lett, 2020
We study one-dimensional spin-1/2 models in which strict confinement of Ising domain walls leads to the fragmentation of Hilbert space into exponentially many disconnected subspaces.
Yang ZC, Liu F, Gorshkov AV, Iadecola T.
europepmc   +3 more sources

The bulk Hilbert space of double scaled SYK [PDF]

open access: yesJournal of High Energy Physics, 2022
The emergence of the bulk Hilbert space is a mysterious concept in holography. In [1], the SYK model was solved in the double scaling limit by summing chord diagrams.
Henry W. Lin
semanticscholar   +2 more sources

Observation of Hilbert space fragmentation and fractonic excitations in 2D. [PDF]

open access: yesNature
The relaxation behaviour of isolated quantum systems taken out of equilibrium is among the most intriguing questions in many-body physics1. Quantum systems out of equilibrium typically relax to thermal equilibrium states by scrambling local information ...
Adler D   +9 more
europepmc   +2 more sources

Global anomalies on the Hilbert space [PDF]

open access: yesJournal of High Energy Physics, 2021
We show that certain global anomalies can be detected in an elementary fashion by analyzing the way the symmetry algebra is realized on the torus Hilbert space of the anomalous theory.
D. Delmastro, D. Gaiotto, J. Gomis
semanticscholar   +2 more sources

Metric field as emergence of Hilbert space. [PDF]

open access: yesSci Rep
First, we explain some ambiguities of spacetime and metric field as fundamental concepts. Then, from the Unruh effect point of view and using the Gelfand–Naimark–Segal construction, we construct an operator as a quanta of acceleration that we call ...
Yousefian M, Farhoudi M.
europepmc   +2 more sources

Consistent Treatment of Quantum Systems with a Time-Dependent Hilbert Space. [PDF]

open access: yesEntropy (Basel)
We consider some basic problems associated with quantum mechanics of systems having a time-dependent Hilbert space. We provide a consistent treatment of these systems and address the possibility of describing them in terms of a time-independent Hilbert ...
Mostafazadeh A.
europepmc   +2 more sources

Quantum many-body scars and Hilbert space fragmentation: a review of exact results [PDF]

open access: yesReports on progress in physics. Physical Society, 2021
The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of ergodicity can still lead to rich experimental and theoretical physics. In this
Sanjay Moudgalya   +2 more
semanticscholar   +1 more source

Introduction of Frame in Tensor Product of $n$-Hilbert Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
We study the concept of frame in tensor product of  $n$-Hilbert spaces as tensor product of  $n$-Hilbert spaces is again an  $n$-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space.
Prasenjit Ghosh, Tapas Samanta
doaj   +1 more source

Hilbert Space Fragmentation and Commutant Algebras [PDF]

open access: yesPhysical Review X, 2021
We study the phenomenon of Hilbert space fragmentation in isolated Hamiltonian and Floquet quantum systems using the language of commutant algebras, the algebra of all operators that commute with each term of the Hamiltonian or each gate of the circuit ...
Sanjay Moudgalya, O. Motrunich
semanticscholar   +1 more source

Many-body Hilbert space scarring on a superconducting processor [PDF]

open access: yesNature Physics, 2022
Many-body quantum systems that escape thermalization are promising candidates for quantum information applications. A weak-ergodicity-breaking mechanism—quantum scarring—has now been observed with superconducting qubits in unconstrained models.
P. Zhang   +23 more
semanticscholar   +1 more source

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