Zobrazeno 1 - 10
of 86
pro vyhledávání: '"Arul Lakshminarayan"'
Publikováno v:
PRX Quantum, Vol 3, Iss 4, p 040331 (2022)
While quantum circuits built from two-particle dual-unitary (maximally entangled) operators serve as minimal models of typically nonintegrable many-body systems, the construction and characterization of dual-unitary operators themselves are only part
Externí odkaz:
https://doaj.org/article/11f690e2aa2d4feca25617945c0375ce
Publikováno v:
Physical Review Research, Vol 3, Iss 4, p 043034 (2021)
Deterministic classical dynamical systems have an ergodic hierarchy, from ergodic through mixing, to Bernoulli systems that are “as random as a coin toss.” Dual-unitary circuits have been recently introduced as solvable models of many-body nonint
Externí odkaz:
https://doaj.org/article/fc45640e42634f3596fa29c043258994
Publikováno v:
Physical Review Research, Vol 2, Iss 4, p 043126 (2020)
Entanglement properties of bipartite unitary operators are studied via their local invariants, namely the entangling power e_{p} and a complementary quantity, the gate typicality g_{t}. We characterize the boundaries of the set K_{2} representing all
Externí odkaz:
https://doaj.org/article/79a87fd63a924365839fdbc0376e304e
Quantum coherence controls the nature of equilibration and thermalization in coupled chaotic systems
Autor:
Jethin J. Pulikkottil, Arul Lakshminarayan, Shashi C. L. Srivastava, Maximilian F. I. Kieler, Arnd Bäcker, Steven Tomsovic
Publikováno v:
Physical Review E. 107
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8469d19e3b1cea46534ff9c492fe56f5
https://doi.org/10.1103/physreve.107.024124
https://doi.org/10.1103/physreve.107.024124
Out-of-time-order correlators (OTOC) in the Ising Floquet system, that can be both integrable and nonintegrable is studied. Instead of localized spin observables, we study contiguous symmetric blocks of spins or random operators localized on these bl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f41d0a97d4f3ea8a6eb9357f71b086b5
http://arxiv.org/abs/2203.05494
http://arxiv.org/abs/2203.05494
Autor:
Suhail Ahmad Rather, Adam Burchardt, Wojciech Bruzda, Grzegorz Rajchel-Mieldzioć, Arul Lakshminarayan, Karol Życzkowski
Publikováno v:
Physical Review Letters. 128
The negative solution to the famous problem of $36$ officers of Euler implies that there are no two orthogonal Latin squares of order six. We show that the problem has a solution, provided the officers are entangled, and construct orthogonal quantum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa40251fd7d63b4c4890b8c661a0fb82
https://doi.org/10.1103/physrevlett.128.080507
https://doi.org/10.1103/physrevlett.128.080507
Autor:
Arul Lakshminarayan, Ravi Prakash
Publikováno v:
Acta Physica Polonica A. 136:803-810
Out-of-time-order correlators (OTOC) being explored as a measure of quantum chaos, is studied here in a coupled bipartite system. Each of the subsystems can be chaotic or regular and lead to very different OTOC growths both before and after the scram
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59b5ddeeb4a930f451678d42a4ef9640
https://doi.org/10.12693/aphyspola.136.803
https://doi.org/10.12693/aphyspola.136.803
Deterministic classical dynamical systems have an ergodic hierarchy, from ergodic through mixing, to Bernoulli systems that are "as random as a coin-toss". Dual-unitary circuits have been recently introduced as solvable models of many-body nonintegra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fe0978d60b3c7cec23ebd7bb7dec895
http://arxiv.org/abs/2101.04580
http://arxiv.org/abs/2101.04580
Coined discrete-time quantum walks are studied using simple deterministic dynamical systems as coins whose classical limit can range from being integrable to chaotic. It is shown that a Loschmidt echo-like fidelity plays a central role, and when the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::265b7447188e65a0f6848979ade0433a
http://arxiv.org/abs/2008.11318
http://arxiv.org/abs/2008.11318
Autor:
Arul Lakshminarayan, Shashi C. L. Srivastava, Steven Tomsovic, Arnd Bäcker, Jethin J. Pulikkottil
Publikováno v:
Physical Review E
The entanglement production in bipartite quantum systems is studied for initially unentangled product eigenstates of the subsystems, which are assumed to be quantum chaotic. Based on a perturbative computation of the Schmidt eigenvalues of the reduce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa3fcc691646acd62baa30a9fffdc281
https://doi.org/10.1103/physreve.101.032212
https://doi.org/10.1103/physreve.101.032212