Thouless and relaxation time scales in many-body quantum systems

M Schiulaz, EJ Torres-Herrera, LF Santos - Physical Review B, 2019 - APS
A major open question in studies of nonequilibrium quantum dynamics is the identification of
the time scales involved in the relaxation process of isolated quantum systems that have …

Chaos and complexity in quantum mechanics

T Ali, A Bhattacharyya, SS Haque, EH Kim, N Moynihan… - Physical Review D, 2020 - APS
We propose a new diagnostic for quantum chaos. We show that the time evolution of
complexity for a particular type of target state can provide equivalent information about the …

Comments on the double cone wormhole

Y Chen, V Ivo, J Maldacena - Journal of High Energy Physics, 2024 - Springer
A bstract In this paper we revisit the double cone wormhole introduced by Saad, Shenker
and Stanford (SSS), which was shown to reproduce the ramp in the spectral form factor. As a …

Ultra-stable charging of fast-scrambling SYK quantum batteries

D Rosa, D Rossini, GM Andolina, M Polini… - Journal of High Energy …, 2020 - Springer
A bstract Collective behavior strongly influences the charging dynamics of quantum batteries
(QBs). Here, we study the impact of nonlocal correlations on the energy stored in a system of …

Exponential ramp in the quadratic sachdev-ye-kitaev model

M Winer, SK Jian, B Swingle - Physical Review Letters, 2020 - APS
A long period of linear growth in the spectral form factor provides a universal diagnostic of
quantum chaos at intermediate times. By contrast, the behavior of the spectral form factor in …

Sparse Sachdev-Ye-Kitaev model, quantum chaos, and gravity duals

AM García-García, Y Jia, D Rosa, JJM Verbaarschot - Physical Review D, 2021 - APS
We study a sparse Sachdev-Ye-Kitaev (SYK) model with N Majoranas where only∼ k N
independent matrix elements are nonzero. We identify a minimum k≳ 1 for quantum chaos …

Extremal and near-extremal black holes and near-CFT1

U Moitra, SP Trivedi, V Vishal - Journal of High Energy Physics, 2019 - Springer
A bstract We study the behaviour of extremal and near-extremal black holes at low energies
and low temperatures and find that it can be understood from the near-horizon AdS 2 region …

Hydrodynamic theory of the connected spectral form factor

M Winer, B Swingle - Physical Review X, 2022 - APS
One manifestation of quantum chaos is a random-matrix-like fine-grained energy spectrum.
Prior to the inverse level spacing time, random matrix theory predicts a “ramp” of increasing …

Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction

M Berkooz, P Narayan, J Simon - Journal of High Energy Physics, 2018 - Springer
A bstract The exact 2-point function of certain physically motivated operators in SYK-like spin
glass models is computed, bypassing the Schwinger-Dyson equations. The models possess …

Many-body level statistics of single-particle quantum chaos

Y Liao, A Vikram, V Galitski - Physical Review Letters, 2020 - APS
We consider a noninteracting many-fermion system populating levels of a unitary random
matrix ensemble (equivalent to the q= 2 complex Sachdev-Ye-Kitaev model)—a generic …