Probing many-body quantum chaos with quantum simulators

LK Joshi, A Elben, A Vikram, B Vermersch, V Galitski… - Physical Review X, 2022 - APS
The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key
diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) …

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 …

Measurement-induced phases of matter require feedback

AJ Friedman, O Hart, R Nandkishore - PRX Quantum, 2023 - APS
We explore universality and phases of matter in hybrid quantum dynamics combining
chaotic time evolution and projective measurements. We develop a unitary representation of …

Emergent ergodicity at the transition between many-body localized phases

R Sahay, F Machado, B Ye, CR Laumann, NY Yao - Physical review letters, 2021 - APS
Strongly disordered systems in the many-body localized (MBL) phase can exhibit ground
state order in highly excited eigenstates. The interplay between localization, symmetry, and …

Spectral form factors of topological phases

A Sarkar, S Pachhal, A Agarwala, D Das - Physical Review B, 2024 - APS
Signatures of dynamical quantum phase transitions and chaos can be found in the time
evolution of generalized partition functions such as spectral form factors (SFF) and …

Scaling Relations of Spectrum Form Factor and Krylov Complexity at Finite Temperature

C Tan, Z Wei, R Zhang - arXiv preprint arXiv:2401.10499, 2024 - arxiv.org
In the study of quantum chaos diagnostics, considerable attention has been attributed to the
Krylov complexity and spectrum form factor (SFF) for systems at infinite temperature. These …

Exact Fisher zeros and thermofield dynamics across a quantum critical point

Y Liu, S Lv, Y Meng, Z Tan, E Zhao, H Zou - Physical Review Research, 2024 - APS
By setting the inverse temperature β loose to occupy the complex plane, Fisher showed that
the zeros of the complex partition function Z, if approaching the real β axis, reveal a …

Exact and asymptotic dissipative spectral form factor for elliptic Ginibre unitary ensemble

S Sen, S Kumar - arXiv preprint arXiv:2407.17148, 2024 - arxiv.org
The dissipative spectral form factor (DSFF) has recently emerged as a diagnostic tool for
assessing non-integrability or chaos in non-Hermitian systems. It extends the concept of the …

Generalized spectral form factor in random matrix theory

Z Wei, C Tan, R Zhang - Physical Review E, 2024 - APS
The spectral form factor (SFF) plays a crucial role in revealing the statistical properties of
energy-level distributions in complex systems. It is one of the tools to diagnose quantum …

Many-body spectral transitions through the lens of variable-range SYK2 model

A Legramandi, S Bandyopadhyay, P Hauke - arXiv preprint arXiv …, 2024 - arxiv.org
The Sachdev-Ye-Kitaev (SYK) model is a cornerstone in the study of quantum chaos and
holographic quantum matter. Real-world implementations, however, deviate from the …