Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Alhambra, Álvaro M."'
We introduce regular language states, a family of quantum many-body states. They are built from a special class of formal languages, called regular, which has been thoroughly studied in the field of computer science. They can be understood as the sup
Externí odkaz:
http://arxiv.org/abs/2407.17641
Quantum systems typically reach thermal equilibrium rather quickly when coupled to a thermal environment. The usual way of bounding the speed of this process is by estimating the spectral gap of the dissipative generator. However the gap, by itself,
Externí odkaz:
http://arxiv.org/abs/2404.16780
The preparation of thermal states of matter is a crucial task in quantum simulation. In this work, we prove that a recently introduced, efficiently implementable dissipative evolution thermalizes to the Gibbs state in time scaling polynomially with s
Externí odkaz:
http://arxiv.org/abs/2403.12691
Autor:
Gondolf, Paul, Scalet, Samuel O., Ruiz-de-Alarcon, Alberto, Alhambra, Alvaro M., Capel, Angela
We show that spin chains in thermal equilibrium have a correlation structure in which individual regions are strongly correlated at most with their near vicinity. We quantify this with alternative notions of the conditional mutual information defined
Externí odkaz:
http://arxiv.org/abs/2402.18500
Publikováno v:
Quantum 8, 1401 (2024)
We show how to efficiently simulate pure quantum states in one dimensional systems that have both finite energy density and vanishingly small energy fluctuations. We do so by studying the performance of a tensor network algorithm that produces matrix
Externí odkaz:
http://arxiv.org/abs/2307.05200
Autor:
Wild, Dominik S., Alhambra, Álvaro M.
Publikováno v:
PRX Quantum 4 (2), 020340 (2023)
Recent progress in the development of quantum technologies has enabled the direct investigation of dynamics of increasingly complex quantum many-body systems. This motivates the study of the complexity of classical algorithms for this problem in orde
Externí odkaz:
http://arxiv.org/abs/2210.11490
Publikováno v:
SciPost Phys. 15, 165 (2023)
We show that the dynamics of generic quantum systems concentrate around their equilibrium value when measuring at arbitrary times. This means that the probability of finding them away from equilibrium is exponentially suppressed, with a decay rate gi
Externí odkaz:
http://arxiv.org/abs/2206.07541
Autor:
Alhambra, Álvaro M.
Publikováno v:
PRX Quantum 4, 040201 (2023)
The thermal or equilibrium ensemble is one of the most ubiquitous states of matter. For models comprised of many locally interacting quantum particles, it describes a wide range of physical situations, relevant to condensed matter physics, high energ
Externí odkaz:
http://arxiv.org/abs/2204.08349
We investigate early-time equilibration rates of observables in closed many-body quantum systems and compare them to those of two correlation functions, first introduced by Kubo and Srednicki. We explore whether these different rates coincide at a un
Externí odkaz:
http://arxiv.org/abs/2112.09475
Autor:
Kumari, Meenu, Alhambra, Álvaro M.
Publikováno v:
Quantum 6, 701 (2022)
The average entanglement entropy (EE) of the energy eigenstates in non-vanishing partitions has been recently proposed as a diagnostic of integrability in quantum many-body systems. For it to be a faithful characterization of quantum integrability, i
Externí odkaz:
http://arxiv.org/abs/2108.09866