Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Tanay Pathak"'
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 1, Pp 1-42 (2024)
Abstract We use Krylov complexity to study operator growth in the q-body dissipative Sachdev-Ye-Kitaev (SYK) model, where the dissipation is modeled by linear and random p-body Lindblad operators. In the large q limit, we analytically establish the l
Externí odkaz:
https://doaj.org/article/28f354bbd2b6468ca50ecf2db9e2aa25
Publikováno v:
Journal of High Energy Physics, Vol 2023, Iss 8, Pp 1-28 (2023)
Abstract Considering the large q expansion of the Sachdev-Ye-Kitaev (SYK) model in the two-stage limit, we compute the Lanczos coefficients, Krylov complexity, and the higher Krylov cumulants in subleading order, along with the t/q effects. The Krylo
Externí odkaz:
https://doaj.org/article/8b25d143160a44c0a253d17e3fefacf6
Publikováno v:
Journal of High Energy Physics, Vol 2023, Iss 3, Pp 1-29 (2023)
Abstract We study the operator growth in open quantum systems with dephasing dissipation terms, extending the Krylov complexity formalism of [1]. Our results are based on the study of the dissipative q-body Sachdev-Ye-Kitaev (SYK q ) model, governed
Externí odkaz:
https://doaj.org/article/2bb821ead53c41ac9e2d7f9860fc0455
Publikováno v:
Nuclear Physics B, Vol 995, Iss , Pp 116345- (2023)
Motivated by the foundational work of Tarasov, who pointed out that the algebraic relations of the type considered here can lead to functional reduction of Feynman integrals, we suitably modify the original method to be able to implement and automati
Externí odkaz:
https://doaj.org/article/68acbcf81f2e456eba7f5e172f57c0ec
Publikováno v:
Journal of High Energy Physics, Vol 2022, Iss 5, Pp 1-27 (2022)
Abstract In semi-classical systems, the exponential growth of the out-of-time-order correlator (OTOC) is believed to be the hallmark of quantum chaos. However, on several occasions, it has been argued that, even in integrable systems, OTOC can grow e
Externí odkaz:
https://doaj.org/article/57fc5936c62446ca9d531ad62b123213
Autor:
Bera, Souvik, Tanay Pathak
Publikováno v:
INSPIRE-HEP
The analytic continuations (ACs) of the double variable Horn $H_1$ and $H_5$ functions have been derived for the first time using the \textit{Mathematica} package \texttt{Olsson.wl}. The corresponding region of convergences (ROCs) of the ACs are obta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a68af34cfb72d23cb5d4adee260623bd
Publikováno v:
INSPIRE-HEP
We present the Olsson.wl Mathematica package which aims to find linear transformations for some classes of multivariable hypergeometric functions. It is based on a well-known method developed by P. O. M. Olsson in J. Math. Phys. 5, 420 (1964) in orde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2c47db33597b271d572ef68f037fe96
The transformation theory of the Appell $F_2(a,b_1,b_2;c_1,c_2;x,y)$ double hypergeometric function is used to obtain a set of series representations of $F_2$ which provide an efficient way to evaluate $F_2$ for real values of its arguments $x$ and $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7cd47e4000dc5ae2d6ced38e3286e938
https://hal.archives-ouvertes.fr/hal-03448554
https://hal.archives-ouvertes.fr/hal-03448554
Capacity of entanglement (CoE), an information-theoretic measure of entanglement, defined as the variance of modular Hamiltonian, is known to capture the deviation from the maximal entanglement. We derive an exact expression for the average eigenstat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::abf164b5f6454db8444571570c7cdc78
http://arxiv.org/abs/2109.00557
http://arxiv.org/abs/2109.00557
Publikováno v:
Sudeepan Datta
INSPIRE-HEP
INSPIRE-HEP
We use the method of brackets to evaluate quadratic and quartic type integrals. We recall the operational rules of the method and give examples to illustrate its working. The method is then used to evaluate the quadratic type integrals which occur in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d60fe20680e89cf088780d9d2bb0db0