Results 1 to 10 of about 4,658,115 (232)
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.
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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
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Metric field as emergence of Hilbert space [PDF]
Scientific ReportsFirst, 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
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Functor of extension in Hilbert cube and Hilbert space [PDF]
Open Mathematics, 2014 AbstractIt is shown that if Ω = Q or Ω = ℓ 2, then there exists a functor of extension of maps between Z-sets in Ω to mappings of Ω into itself. This functor transforms homeomorphisms into homeomorphisms, thus giving a functorial setting to a well-known theorem of Anderson [Anderson R.D., On topological infinite deficiency, Michigan Math. J., 1967, 14,
Niemiec Piotr
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Consistent Treatment of Quantum Systems with a Time-Dependent Hilbert Space [PDF]
EntropyWe 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
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On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space [PDF]
, 1966 The purpose of this note is to show that a close relationship exists between the notions of majorization, factorization, and range inclusion for operators on a Hilbert space.
R. G. Douglas
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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
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Measures on the Closed Subspaces of a Hilbert Space [PDF]
, 1957 Andrew M. Gleason
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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 +2 more
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Many-body Hilbert space scarring on a superconducting processor [PDF]
Nature 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
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