1 citations · 1 across the 8 of their papers we have counts for
9 papers
KKT Residual Sliding Manifolds: A Projection-Free Structured Finite-Time Solver for Nonlinear Constrained Optimisation
Abdelhafid Zenati, Kamal Youcef-Toumi
Nonlinear Constrained Optimisation (NCO) requires simultaneous satisfaction of the Karush-Kuhn-Tucker (KKT) conditions. Existing methods enforce these conditions through projection…
Exact Entanglement Dynamics Beyond Nearest-Neighbor Dual-Unitary Floquet Systems
Tanay Pathak
Exact results using dual-unitarity largely rely on nearest-neighbor structures, while finite-range interactions typically lead to complications. Going beyond the usual nearest-neig…
Information scrambling in all-to-all interacting models
Abhik Kumar Saha, Tanay Pathak, Masaki Tezuka
Information scrambling is a hallmark of quantum chaos and thermalization in isolated quantum many-body systems. We investigate scrambling dynamics in the all-to-all interacting spi…
Mixed-State Entanglement in a Minimal Model of Quantum Chaos
Tanay Pathak
Understanding the dynamics of quantum correlations in many-body systems is a central problem in non-equilibrium quantum physics. We study the spread of mixed-state entanglement in…
Full Eigenstate Thermalization in Integrable Spin Systems
Tanay Pathak
The Eigenstate Thermalization Hypothesis (ETH) is a standard tool to understand the thermalization properties of an isolated quantum system. Its generalization to higher order corr…
Entanglement production in the Sachdev-Ye-Kitaev Model and its variants
Tanay Pathak, Masaki Tezuka
Understanding how quantum chaotic systems generate entanglement can provide insight into their microscopic chaotic dynamics and can help distinguish between different classes of ch…
Extreme value statistics and eigenstate thermalization in kicked quantum chaotic spin- chains
Tanay Pathak, Masaki Tezuka
It is often expected (and assumed) for a quantum chaotic system that the presence of correlated eigenvalues implies that all the other properties as dictated by random matrix theor…
How Random Are Ergodic Eigenstates of the Ultrametric Random Matrices and the Quantum Sun Model?
Tanay Pathak
We numerically study the extreme-value statistics of the Schmidt eigenvalues of reduced density matrices obtained from the ergodic eigenstates. We start by exploring the extreme va…
Relaxation Fluctuations of Correlation Functions: Spin and Random Matrix Models
Tanay Pathak
Spectral statistics and correlations are the usual way to study the presence or absence of quantum chaos in quantum systems. We present our investigation on the study of the fluctu…