103 citations · 264 across the 5 of their papers we have counts for
5 papers
Krylov complexity and chaos in quantum mechanics
Koji Hashimoto, Keiju Murata, Norihiro Tanahashi +1
Recently, Krylov complexity was proposed as a measure of complexity and chaoticity of quantum systems. We consider the stadium billiard as a typical example of the quantum mechanic…
A bound on energy dependence of chaos
Koji Hashimoto, Keiju Murata, Norihiro Tanahashi +1
We conjecture a chaos energy bound, an upper bound on the energy dependence of the Lyapunov exponent for any classical/quantum Hamiltonian mechanics and field theories. The conject…
Bulk reconstruction of metrics inside black holes by complexity
Koji Hashimoto, Ryota Watanabe
We provide a formula to reconstruct bulk spacetime metrics inside black holes by the time dependence of complexity in the dual quantum field theory, based on the complexity=volume…
Exponential growth of out-of-time-order correlator without chaos: inverted harmonic oscillator
Koji Hashimoto, Kyoung-Bum Huh, Keun-Young Kim +1
We provide a detailed examination of a thermal out-of-time-order correlator (OTOC) growing exponentially in time in systems without chaos. The system is a one-dimensional quantum m…
Out-of-time-order correlator in coupled harmonic oscillators
Tetsuya Akutagawa, Koji Hashimoto, Toshiaki Sasaki +1
Exponential growth of thermal out-of-time-order correlator (OTOC) is an indicator of a possible gravity dual, and a simple toy quantum model showing the growth is being looked for.…