Results 31 to 40 of about 2,287,877 (286)
How much can the eigenvalues of a random Hermitian matrix fluctuate? [PDF]
Duke mathematical journal, 2019 The goal of this article is to study how much the eigenvalues of large Hermitian random matrices deviate from certain deterministic locations -- or in other words, to investigate optimal rigidity estimates for the eigenvalues.
T. Claeys +3 more
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Non-hermitian random matrix theory: Method of hermitian reduction [PDF]
Nuclear Physics B, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joshua Feinberg, A. Zee
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Implementing smooth functions of a Hermitian matrix on a quantum computer [PDF]
Journal of Physics Communications, 2018 We consider methods for implementing smooth functions f(A) of a sparse Hermitian matrix A on a quantum computer, and analyse a further combination of these techniques which has advantages of simplicity and resource consumption in some cases.
Sathyawageeswar Subramanian +2 more
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When is the hermitian/skew-hermitian part of a matrix a potent matrix? [PDF]
The Electronic Journal of Linear Algebra, 2012 This paper deals with the Hermitian H(A) and skew-Hermitian part S(A) of a complex matrix A. We characterize all complex matrices A such that H(A), respectively S(A), is a potent matrix. Two approaches are used: characterizations of idempotent and tripotent Hermitian matrices of a special form, and a singular value decomposition of A.
Ilisevic, Dijana, Thome, Néstor
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Entanglement, non-hermiticity, and duality
SciPost Physics, 2021 Usually duality process keeps energy spectrum invariant. In this paper, we provide a duality, which keeps entanglement spectrum invariant, in order to diagnose quantum entanglement of non-Hermitian non-interacting fermionic systems.
Li-Mei Chen, Shuai A. Chen, Peng Ye
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Asymmetric Hermitian matrix models and fuzzy field theory [PDF]
Physical Review D, 2017 We analyze two types of hermitian matrix models with asymmetric solutions. One type breaks the symmetry explicitly with an asymmetric quartic potential. We give the phase diagram of this model with two different phase transitions between the one cut and ...
J. Tekel
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European Physical Journal C: Particles and Fields, 2022 We construct the ( $$\beta $$ β -deformed) partition function hierarchies with W-representations. Based on the W-representations, we analyze the superintegrability property and derive their character expansions with respect to the Schur functions and ...
Rui Wang +3 more
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Unambiguous scattering matrix for non-Hermitian systems [PDF]
Physical Review A, 2020 $\mathcal{PT}$ symmetry is a unique platform for light manipulation and versatile use in unidirectional invisibility, lasing, sensing, etc. Broken and unbroken $\mathcal{PT}$-symmetric states in non-Hermitian open systems are described by scattering ...
A. Novitsky +5 more
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Non-Hermitian Euclidean random matrix theory [PDF]
Physical Review E, 2011 11 pages, 9 ...
Goetschy, A., Skipetrov, S. E.
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Density-matrix formalism for PT -symmetric non-Hermitian Hamiltonians with the Lindblad equation [PDF]
Physical Review A, 2020 In the presence of Lindblad decoherence, i.e. dissipative effects in an open quantum system due to interaction with an environment, we examine the transition probabilities for "mass" and "flavor" eigenstates in the two-level quantum system described by ...
T. Ohlsson, Shun Zhou
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