Probing many-body quantum chaos with quantum simulators
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) …
diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) …
Many-body level statistics of single-particle quantum chaos
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 …
matrix ensemble (equivalent to the q= 2 complex Sachdev-Ye-Kitaev model)—a generic …
Measurement-induced phases of matter require feedback
We explore universality and phases of matter in hybrid quantum dynamics combining
chaotic time evolution and projective measurements. We develop a unitary representation of …
chaotic time evolution and projective measurements. We develop a unitary representation of …
Emergent ergodicity at the transition between many-body localized phases
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 …
state order in highly excited eigenstates. The interplay between localization, symmetry, and …
Spectral form factors of topological phases
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 …
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 …
Krylov complexity and spectrum form factor (SFF) for systems at infinite temperature. These …
Exact Fisher zeros and thermofield dynamics across a quantum critical point
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 …
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
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 …
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 …
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 …
holographic quantum matter. Real-world implementations, however, deviate from the …