Amit Vikram

Proof of a Universal Speed Limit on Fast Scrambling in Quantum Systems

Amit Vikram, Laura Shou, Victor Galitski

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On the reconstruction map in JT gravity

Chris Akers, Andrew Lucas, Amit Vikram

A bstract An open question in AdS/CFT is how to reconstruct semiclassical bulk operators precisely enough that non-perturbative quantum effects can be computed. We propose a set of physically-motivated requirements for such a reconstruction map, and explicitly construct a map satisfying these …

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Spectral anomalies and broken symmetries in maximally chaotic quantum maps

Laura Shou, Amit Vikram, Victor M. Galitski

Spectral statistics such as the level spacing statistics and spectral form factor (SFF) are widely expected to accurately identify “ergodicity,” including the presence of underlying macroscopic symmetries, in generic quantum systems ranging from quantized chaotic maps to interacting many-body systems. By studying …

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Exact universal bounds on quantum dynamics and fast scrambling

Amit Vikram, Victor M. Galitski

Quantum speed limits such as the Mandelstam-Tamm or Margolus-Levitin bounds offer a quantitative formulation of the energy-time uncertainty principle that constrains dynamics over short times. We show that the spectral form factor, a central quantity in quantum chaos, sets a universal state-independent …

Probing Many-Body Quantum Chaos on a Trapped Ion Quantum Simulator

Kate Collins, Arinjoy De, William Morong, Lata Kh Joshi et autres

Dynamical quantum ergodicity from energy level statistics

Amit Vikram, Victor M. Galitski

Ergodic theory provides a rigorous mathematical description of chaos in classical dynamical systems, including a formal definition of the ergodic hierarchy. How ergodic dynamics is reflected in the energy levels and eigenstates of a quantum system is the central question of quantum …

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