Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Vikram, Amit"'
We prove that the time required for sustained information scrambling in any Hamiltonian quantum system is universally at least logarithmic in the entanglement entropy of scrambled states. This addresses two foundational problems in nonequilibrium qua
Externí odkaz:
http://arxiv.org/abs/2404.15403
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 qu
Externí odkaz:
http://arxiv.org/abs/2312.14067
Shor's factoring algorithm, believed to provide an exponential speedup over classical computation, relies on finding the period of an exactly periodic quantum modular multiplication operator. This exact periodicity is the hallmark of an integrable sy
Externí odkaz:
http://arxiv.org/abs/2306.16446
Autor:
Vikram, Amit, Galitski, Victor
Publikováno v:
Phys. Rev. Lett. 132, 040402 (2024)
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
Externí odkaz:
http://arxiv.org/abs/2212.14021
Autor:
Vikram, Amit, Galitski, Victor
Publikováno v:
Phys. Rev. Research 5, 033126 (2023)
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
Externí odkaz:
http://arxiv.org/abs/2205.05704
Autor:
Joshi, Lata Kh, Elben, Andreas, Vikram, Amit, Vermersch, Benoît, Galitski, Victor, Zoller, Peter
Publikováno v:
Phys. Rev. X 12, 011018 (2022)
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) can be defined which refer to subsystems of the many-body system. They
Externí odkaz:
http://arxiv.org/abs/2106.15530
Publikováno v:
Phys. Rev. Lett. 125, 250601 (2020)
We consider a non-interacting many-fermion system populating levels of a unitary random matrix ensemble (equivalent to the q=2 complex Sachdev-Ye-Kitaev model) - a generic model of single-particle quantum chaos. We study the corresponding many-partic
Externí odkaz:
http://arxiv.org/abs/2005.08991