Zobrazeno 1 - 10
of 25 923
pro vyhledávání: '"Spectral Gap"'
One- and two-particle spectral gap identities for the symmetric inclusion process and related models
Autor:
Kim, Seonwoo, Sau, Federico
The symmetric inclusion process (SIP) models particles diffusing on a graph with mutual attraction. We recently showed that, in the log-concave regime (where diffusivity dominates interaction), the spectral gap of the conservative SIP matches that of
Externí odkaz:
http://arxiv.org/abs/2412.01489
A fundamental question is understanding the rate at which random quantum circuits converge to the Haar measure. One quantity which is important in establishing this rate is the spectral gap of a random quantum ensemble. In this work we establish a ne
Externí odkaz:
http://arxiv.org/abs/2411.13739
We establish a general spectral gap theorem for actions of products of groups which may replace Kazhdan's property (T) in various situations. As a main application, we prove that a confined subgroup of an irreducible lattice in a higher rank semisimp
Externí odkaz:
http://arxiv.org/abs/2411.07033
Estimating spectral gaps of quantum many-body Hamiltonians is a highly challenging computational task, even under assumptions of locality and translation-invariance. Yet, the quest for rigorous gap certificates is motivated by their broad applicabili
Externí odkaz:
http://arxiv.org/abs/2411.03680
Autor:
Cassidy, Ewan
We extend Friedman's theorem to show that, for any fixed $r$, the random $2r$--regular Schreier graphs depicting the action of $r$ random permutations of $[n]$ on $k_{n}$--tuples of distinct elements in $[n]$ are a.a.s. weakly Ramanujan, for any $k_{
Externí odkaz:
http://arxiv.org/abs/2412.13941
The problem of determining the existence of a spectral gap in a lattice quantum spin system was previously shown to be undecidable for one [J. Bausch et al., "Undecidability of the spectral gap in one dimension", Physical Review X 10 (2020)] or more
Externí odkaz:
http://arxiv.org/abs/2410.13589
The preparation of non-trivial states is crucial to the study of quantum many-body physics. Such states can be prepared with adiabatic quantum algorithms, which are restricted by the minimum spectral gap along the path. In this letter, we propose an
Externí odkaz:
http://arxiv.org/abs/2409.15433
Autor:
Yang, Shangjie
In this paper, we study the spectral gap and principle eigenfunction of the random walk in the line segment $[1, N]$ with conductances $c^{(N)}(x, x+1)_{1\le x0$ is the rate of the random walk jumping from site $x$ to site
Externí odkaz:
http://arxiv.org/abs/2408.07139
Autor:
Delande, Loïs
We consider the Witten Laplacian associated to a non-Morse potential. We prove Eyring-Kramers formulas for the bottom of the spectrum of this operator in the semiclassical regime and quantify the spectral gap between these eigenvalues and the rest of
Externí odkaz:
http://arxiv.org/abs/2410.21899
Autor:
Bondesan, Andrea, Tang, Bao Quoc
We consider hard-potential cutoff multi-species Boltzmann operators modeling microscopic binary elastic collisions and bimolecular reversible chemical reactions inside a gaseous mixture. We prove that the spectral gap estimate derived for the lineari
Externí odkaz:
http://arxiv.org/abs/2410.15055