Quantum quench and thermalization to GGE in arbitrary dimensions and the odd-even effect

Banerjee, Prashant; Gaikwad, Adwait; Kaushal, Anurag; Mandal, Gautam

doi:10.1007/jhep09(2020)027

Cited by 13 publications

(11 citation statements)

References 47 publications

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“…It is unlikely that dilute gas phase in higher dimensional theories would thermalize instantaneously. Mass quenches in higher dimensional free relativistic theories have non-trivial time dependence [23][24][25].…”

Section: Jhep04(2021)157mentioning

confidence: 99%

Thermalization in different phases of charged SYK model

Samui

Sorokhaibam

2021

J. High Energ. Phys.

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We study thermalization of charged SYK model in two different phases. We show that both the highly chaotic liquid phase and the dilute gas phase thermalize. Surprisingly the dilute gas state thermalizes instantaneously. We argue that this phenomenon arises because the system in this phase consists of only long-lived quasi-particles at very low density. The liquid state thermalizes exponentially fast. We also show that the additional introduction of random mass deformation (q = 2 SYK term) slows down thermalization but the system thermalizes exponentially fast. This is observed despite the fact that the addition of large q = 2 SYK interaction forces spectral statistics to obey Poisson statistics. An interesting new observation is that the effective temperature is non-monotonic during thermalization in the liquid state. It has a bump at relatively long time before settling down to the final value. With non-zero chemical potential, the effective temperature oscillates noticeably before settling down to the final value.

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Section: Jhep04(2021)157mentioning

confidence: 99%

Thermalization in different phases of charged SYK model

Samui

Sorokhaibam

2021

J. High Energ. Phys.

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“…• Last but not the least, in this paper we have not discussed anything related to quantum mechanical quench [189][190][191][192][193][194][195][196][197][198][199][200][201] and its direct impact in the Normalized Pancharatnam Berry phase derived and numerically constrained within the framework of primordial cosmology. To discuss about the implications of cosmological Bell's inequality violation we have incorporated a conformal time dependent profile of the mass parameter.…”

Section: Discussionmentioning

confidence: 99%

Cosmological Geometric Phase From Pure Quantum States: A study without/with having Bell's inequality violation

Choudhury¹

2021

Preprint

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In this paper, using the concept of Lewis Riesenfeld invariant quantum operator method for finding continuous eigenvalues of quantum mechanical wave functions we derive the analytical expressions for the cosmological geometric phase, which is commonly identified to be the Pancharatnam Berry phase from primordial cosmological perturbation scenario. We compute this cosmological geometric phase from two possible physical situations, (1) In the absence of Bell's inequality violation and (2) In the presence of Bell's inequality violation having the contributions in the sub Hubble region (−kτ 1), super Hubble region (−kτ 1) and at the horizon crossing point (−kτ = 1) for massless field (m/H 1), partially massless field (m/H ∼ 1) and massive/heavy field (m/H 1), in the background of quantum field theory of spatially flat quasi De Sitter geometry. The prime motivation for this work is to investigate the various unknown quantum mechanical features of primordial universe. To give the realistic interpretation of the derived theoretical results we express everything initially in terms of slowly varying conformal time dependent parameters, and then to connect with cosmological observation we further express the results in terms of cosmological observables, which are spectral index/tilt of scalar mode power spectrum (n ζ ) and tensor-to-scalar ratio (r). Finally, this identification helps us to provide the stringent numerical constraints on the Pancharatnam Berry phase, which confronts well with recent cosmological observation.

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“…Note added in proof. After we received the proofs we noted the new paper [31] which has interesting overlap with our work.…”

Section: Jhep09(2020)103mentioning

confidence: 97%

Operator thermalisation in d > 2: Huygens or resurgence

Engelsöy

Larana-Aragon

Sundborg

et al. 2020

J. High Energ. Phys.

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Correlation functions of most composite operators decay exponentially with time at non-zero temperature, even in free field theories. This insight was recently codified in an OTH (operator thermalisation hypothesis). We reconsider an early example, with large N free fields subjected to a singlet constraint. This study in dimensions d > 2 motivates technical modifications of the original OTH to allow for generalised free fields. Furthermore, Huygens’ principle, valid for wave equations only in even dimensions, leads to differences in thermalisation. It works straightforwardly when Huygens’ principle applies, but thermalisation is more elusive if it does not apply. Instead, in odd dimensions we find a link to resurgence theory by noting that exponential relaxation is analogous to non- perturbative corrections to an asymptotic perturbation expansion. Without applying the power of resurgence technology we still find support for thermalisation in odd dimensions, although these arguments are incomplete.

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Quantum quench and thermalization to GGE in arbitrary dimensions and the odd-even effect

Cited by 13 publications

References 47 publications

Thermalization in different phases of charged SYK model

Thermalization in different phases of charged SYK model

Cosmological Geometric Phase From Pure Quantum States: A study without/with having Bell's inequality violation

Operator thermalisation in d > 2: Huygens or resurgence

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