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Improving metrology with quantum scrambling
Quantum scrambling describes the spreading of information into many degrees of freedom
in quantum systems, such that the information is no longer accessible locally but becomes …
in quantum systems, such that the information is no longer accessible locally but becomes …
Krylov construction and complexity for driven quantum systems
Krylov complexity is an important dynamical quantity with relevance to the study of operator
growth and quantum chaos and has recently been much studied for various time …
growth and quantum chaos and has recently been much studied for various time …
Lyapunov exponent as a signature of dissipative many-body quantum chaos
A distinct feature of Hermitian quantum chaotic dynamics is the exponential increase of
certain out-of-time-order correlation (OTOC) functions around the Ehrenfest time with a rate …
certain out-of-time-order correlation (OTOC) functions around the Ehrenfest time with a rate …
Integrability-to-chaos transition through the Krylov approach for state evolution
The complexity of quantum evolutions can be understood by examining their spread in a
chosen basis. Recent research has stressed the fact that the Krylov basis is particularly …
chosen basis. Recent research has stressed the fact that the Krylov basis is particularly …
Out-of-time-order correlators and Lyapunov exponents in sparse SYK
A bstract We use a combination of analytical and numerical methods to study out-of-time
order correlators (OTOCs) in the sparse Sachdev-Ye-Kitaev (SYK) model. We find that at a …
order correlators (OTOCs) in the sparse Sachdev-Ye-Kitaev (SYK) model. We find that at a …
Chaos and integrability in triangular billiards
We characterize quantum dynamics in triangular billiards in terms of five properties:(1) the
level spacing ratio (LSR),(2) spectral complexity (SC),(3) Lanczos coefficient variance,(4) …
level spacing ratio (LSR),(2) spectral complexity (SC),(3) Lanczos coefficient variance,(4) …
Out-of-time-ordered correlators for Wigner matrices
We consider the time evolution of the out-of-time-ordered correlator (OTOC) of two general
observables $ A $ and $ B $ in a mean field chaotic quantum system described by a random …
observables $ A $ and $ B $ in a mean field chaotic quantum system described by a random …
Probing dynamical sensitivity of a non-Kolmogorov-Arnold-Moser system through out-of-time-order correlators
Non-Kolmogorov-Arnold-Moser (KAM) systems, when perturbed by weak time-dependent
fields, offer a fast route to classical chaos through an abrupt breaking of invariant phase …
fields, offer a fast route to classical chaos through an abrupt breaking of invariant phase …
Signatures of fragmentation for periodically driven fermions
We study the possible signatures of prethermal strong Hilbert space fragmentation (HSF) for
one-dimensional (1D) fermions subjected to a periodic drive. We extend the results of Ghosh …
one-dimensional (1D) fermions subjected to a periodic drive. We extend the results of Ghosh …
Quantum chaos without false positives
Out-of-time-order correlators are widely used as an indicator of quantum chaos but give
false-positive quantum Lyapunov exponents for integrable systems with isolated saddle …
false-positive quantum Lyapunov exponents for integrable systems with isolated saddle …