Results 1 to 10 of about 5,037,194 (368)

Hilbert-Space Fragmentation from Strict Confinement. [PDF]

Phys 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

Hilbert space of wormholes [PDF]

Physical Review D, 1993
Wormhole boundary conditions for the Wheeler--DeWitt equation can be derived from the path integral formulation. It is proposed that the wormhole wave function must be square integrable in the maximal analytic extension of minisuperspace.
A. Galindo, A. Galindo, A. Lyons, A. Vilenkin, A. Zhuk, C. Teitelboim, H. F. Dowker, H. F. Dowker, I. S. Gradshteyn, J. J. Halliwell, J. J. Halliwell, L. J. Garay, L. J. Garay, L. M. Campbell, Luis J. Garay, M. Reed, P. F. González-Díaz, P. Puig Adam, P. Ramond, S. B. Giddings, S. Coleman, S. W. Hawking, S. W. Hawking, S. W. Hawking, S. W. Hawking, V. N. Gribov   +25 more
core   +11 more sources

The bulk Hilbert space of double scaled SYK [PDF]

Journal 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
doaj   +2 more sources

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

Nature
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, Wei D, Will M, Srakaew K, Agrawal S, Weckesser P, Moessner R, Pollmann F, Bloch I, Zeiher J.   +9 more
europepmc   +2 more sources

Global anomalies on the Hilbert space [PDF]

Journal 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.
Diego Delmastro, Davide Gaiotto, Jaume Gomis   +2 more
doaj   +2 more sources

Dynamics for holographic codes [PDF]

Journal of High Energy Physics, 2020
We describe how to introduce dynamics for the holographic states and codes introduced by Pastawski, Yoshida, Harlow and Preskill. This task requires the definition of a continuous limit of the kinematical Hilbert space which we argue may be achieved via ...
Tobias J. Osborne, Deniz E. Stiegemann
doaj   +5 more sources

Metric field as emergence of Hilbert space [PDF]

Scientific Reports
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 ...
Maysam Yousefian, Mehrdad Farhoudi
doaj   +2 more sources

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

Entropy
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 ...
Ali Mostafazadeh
doaj   +2 more sources

Hamiltonian Systems and Transformation in Hilbert Space [PDF]

Proceedings of the National Academy of Sciences of the United States of America, 1931
B. O. Koopman
openalex   +2 more sources

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

Reports 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, B. Bernevig, N. Regnault   +2 more
semanticscholar   +1 more source