Characterizing the many-body localization transition by the dynamics of diagonal entropy

Sun, Zheng‐Hang; Cui, Jian; Fan, Heng

doi:10.1103/physrevresearch.2.013163

Cited by 17 publications

(10 citation statements)

References 68 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Polkovnikov showed that it had all the good properties that we can expect from a suitable definition of entropy. This diagonal entropy has already been investigated by many authors [9][10][11][12][13]. We can directly show that the diagonal entropy of the pure state (4) is the von Neumann entropy of the density matrix (16) obtained from a decoherent process.…”

Section: A Statistical Point Of Viewmentioning

confidence: 71%

Thermodynamics of light emission

Rignon-Bret¹

2021

Preprint

View full text Add to dashboard Cite

Some interactions between classical or quantum fields and matter are known to be irreversible processes. Here we associate an entropy to the electromagnetic field from well-known notions of statistical quantum mechanics, in particular the notion of diagonal entropy. We base our work on the study of spontaneous emission and light diffusion. We obtain a quantity which allows to quantify irreversibility for a quantum and classical description of the electromagnetic field, that we can study and interpret from a thermodynamical point of view.

show abstract

Section: A Statistical Point Of Viewmentioning

confidence: 71%

Thermodynamics of light emission

Rignon-Bret¹

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…The diagonal entropy exhibits most of the properties of a thermodynamic entropy, including additivity, conserved in the adiabatic process and increases when an equilibrium system is taken out of equilibrium. Hence, it is an appropriate entropy for the studies of the nonequilibrium dynamics in an isolated quantum systems and has been employed in diverse areas of physics [46][47][48][49][50]. Moreover, S d is consistent with the well-known von Neumann's entropy for systems in equilibrium.…”

Section: Introductionmentioning

confidence: 73%

“…Moreover, S d is consistent with the well-known von Neumann's entropy for systems in equilibrium. It is also worth mentioning that since the diagonal entropy only involves the diagonal part of the density matrix, it can be experimentally measured in an efficient way [50].…”

Section: Introductionmentioning

confidence: 99%

Characterizing the excited-state quantum phase transition via the dynamical and statistical properties of the diagonal entropy

Wang,

Pérez-Bernal

2020

Preprint

View full text Add to dashboard Cite

Using the diagonal entropy we analyze the dynamical signatures of the excited-state quantum phase transitions (ESQPT) in the Lipkin-Meshkov-Glick (LMG) model. We first show that the time evolution of the diagonal entropy behaves as an efficient indicator of the presence of ESQPT. We further consider the diagonal entropy as a random variable over a certain time interval and focus on the statistical properties of the diagonal entropy. We find that the probability distribution of the diagonal entropy provides a clear distinction between different phases of ESQPT. In particular, we observe that at the critical point the probability distribution of the diagonal entropy has a universal form, which can be well described by the so-called beta distribution. We finally demonstrate the central moments of the diagonal entropy can reliably detect the critical point of ESQPT.

show abstract

“…Even though the former discussed the role of interactions in the localization physics described therein, the latter sparked great interest in the topic, considering dynamical aspects including the whole spectrum not limited just to the ground state localization ques-tion. Since then, many works, both theoretical and experimental, have addressed the topic of many-body localization 14,[18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36] . Many-body localization is the survival of some remnant of Anderson localization in the presence of interactions.…”

Section: Introductionmentioning

confidence: 99%

Studying many-body localization in exchange-coupled electron spin qubits using spin-spin correlations

Throckmorton,

Sarma

2020

Preprint

View full text Add to dashboard Cite

We show that many-body localization (MBL) effects can be observed in a finite chain of exchangecoupled spin qubits in the presence of both exchange and magnetic noise, a system that has been experimentally realized in semiconductors and is a potential solid-state quantum computing platform. In addition to established measures of MBL, the level spacing ratio and the entanglement entropy, we propose another quantity, the spin-spin correlation function, that can be measured experimentally and is particularly well-suited to experiments in semiconductor-based electron spin qubit systems. We show that, in cases that the established measures detect as thermal "phases", the spin-spin correlation functions retain no memory of the system's initial state (i.e., the long-time value deviates significantly from the initial value), but that they do retain memory in cases that the established measures detect as localized "phases". We also discover an interesting counterintuitive result that increasing charge noise could lead to the enhancement of the thermal phase in semiconductor spin qubits. The proposed experiments should be feasible in the existing semiconductor spin qubit systems.

show abstract

Characterizing the many-body localization transition by the dynamics of diagonal entropy

Cited by 17 publications

References 68 publications

Thermodynamics of light emission

Thermodynamics of light emission

Characterizing the excited-state quantum phase transition via the dynamical and statistical properties of the diagonal entropy

Studying many-body localization in exchange-coupled electron spin qubits using spin-spin correlations

Contact Info

Product

Resources

About