Entanglement Renyi Negativity across a Finite Temperature Transition: A Monte Carlo study

Wu, Kai-Hsin; Lu, Tsung-Cheng; Chung, Chia-Min; Kao, Ying-Jer; Grover, Tarun

doi:10.1103/physrevlett.125.140603

Cited by 42 publications

(30 citation statements)

References 44 publications

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“…The third PT moment p 3 does not only allow to detect mixed-state entanglement. It can also be used to study the dynamics of entanglement in various many-body quantum systems [22,[59][60][61]65]. Here, we analyze the behavior of the dimensionless ratio R 3 ¼ − log 2 ½p 3 =Trðρ 3 AB Þ, which, as shown in quantum field theory, follows the same universal behavior as the negativity during evolution with a local Hamiltonian [61].…”

Section: ½1mentioning

confidence: 99%

“…Finally, we demonstrate our measurement protocol and the p 3 -PPT condition experimentally in the context of the quantum simulation of many-body systems. Here, PT moments have been shown to reveal universal properties of quantum phases of matter [22,[55][56][57][58] and their transitions [22,55,59,60]. Out of equilibrium, PT moments allow to understand the dynamical process of thermalization [61][62][63][64], and the fate of (many-body) localization in presence of decoherence [65].…”

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confidence: 99%

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Mixed-State Entanglement from Local Randomized Measurements

et al. 2020

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Section: ½1mentioning

confidence: 99%

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confidence: 99%

Mixed-State Entanglement from Local Randomized Measurements

et al. 2020

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“…However, as detailed in Ref. [44,54,55] we can use the third Rényi negativity to estimate the amount of bipartite entanglement in the system…”

Section: Model and Setupmentioning

confidence: 99%

“…From the theoretical side, it is hard to find generically computable measures that do not rely on a full diagonalization of the (partially transposed) density matrix. We circumvent this problem by considering moments of the partially transposed density matrix and calculate the third Rényi negativity R 3 [44,[52][53][54][55][56], which is not an exact entanglement monotone but which captures the relevant dynamics as it behaves quantitatively similar as the negativity [44,54]. From the experimental side, it is challenging to measure non-local correlations as full-state tomography is exponentially expensive in the system size, and as joint measurements on multiple copies of the state are also hard to engineer [54,[57][58][59][60].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Negativity of a Wannier-Stark Many-Body Localized System Coupled to a Bath

Wybo,

Knap,

Pollmann

2021

Preprint

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An interacting system subjected to a strong linear potential can host a many-body localized (MBL) phase when being slightly perturbed. This so-called Wannier-Stark or 'tilted-field' MBL phase inherits many properties from the well-investigated disordered MBL phase, and provides an alternative route to experimentally engineer interacting localized systems without quenched disorder. In this work, we investigate the dynamics of entanglement in a Wannier-Stark MBL system coupled to a dephasing environment. As an accessible entanglement proxy, we use the third Rényi negativity R3, which reduces to the third Rényi entropy in case the system is isolated from the environment. This measure captures the characteristic logarithmic growth of interacting localized phases in the intermediate-time regime, where the effects of the coupling to the environment are not yet dominating the dynamics. Thus it forms a tool to distinguish Wannier-Stark MBL from non-interacting Wannier-Stark localization up to intermediate time-scales, and to quantify quantum correlations in mixed-state dynamics.

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“…In recent years, the Rényi statistics is greatly received attentions for applying in various fields of physics for examples, quantum computation [47][48][49][50][51][52][53], condensed matter physics [54][55][56][57][58][59][60][61][62][63][64][65] and ect. Furthermore, the application of the Rényi statistics in high energy physics is extensively investigated in the study of the conformal theories of the AdS/CFT correspondence [66][67][68][69][70][71][72][73][74][75][76][77][78][79][80][81].…”

Section: Introductionmentioning

confidence: 99%

Gravitational phase transition mediated by thermalon in Einstein-Gauss-Bonnet-Maxwell-Kalb-Ramond gravity

Samart

Channuie

2020

J. High Energ. Phys.

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In this work, we study the possible existence of gravitational phase transition from AdS to dS asymptotic geometries in Einstein-Gauss-Bonnet gravity by adding the Maxwell one-form field (A µ) and the Kalb-Ramond two-form field (B µν) as impurity substitutions. The phase transitions proceed via the bubble nucleation of spherical thin-shells described by different branches of the solutions which host a dS black hole in the interior and asymptotic thermal AdS state in the exterior. We analyze the phase diagrams of the free energy and temperature to demonstrate the existence of the phase transitions in the grand canonical ensemble (fixed electrical potential). The phase transitions of having the one-form and two-form charges are possible in which the critical temperature is lower than that of the neutral case. Comparing results with existing literature, more importantly, our analyses show that the critical temperature and the Gauss-Bonnet coupling λ of the phase transitions get decreased by adding more types of the charges.

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Entanglement Renyi Negativity across a Finite Temperature Transition: A Monte Carlo study

Cited by 42 publications

References 44 publications

Mixed-State Entanglement from Local Randomized Measurements

Mixed-State Entanglement from Local Randomized Measurements

Dynamics of Negativity of a Wannier-Stark Many-Body Localized System Coupled to a Bath

Gravitational phase transition mediated by thermalon in Einstein-Gauss-Bonnet-Maxwell-Kalb-Ramond gravity

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