Colloquium: Quantum batteries
Recent years have witnessed an explosion of interest in quantum devices for the production,
storage, and transfer of energy. This Colloquium concentrates on the field of quantum …
storage, and transfer of energy. This Colloquium concentrates on the field of quantum …
Quantum chaos and the complexity of spread of states
We propose a measure of quantum state complexity defined by minimizing the spread of the
wave function over all choices of basis. Our measure is controlled by the “survival amplitude” …
wave function over all choices of basis. Our measure is controlled by the “survival amplitude” …
Krylov complexity from integrability to chaos
E Rabinovici, A Sánchez-Garrido, R Shir… - Journal of High Energy …, 2022 - Springer
A bstract We apply a notion of quantum complexity, called “Krylov complexity”, to study the
evolution of systems from integrability to chaos. For this purpose we investigate the …
evolution of systems from integrability to chaos. For this purpose we investigate the …
Universal chaotic dynamics from Krylov space
A bstract Krylov complexity measures the spread of the wavefunction in the Krylov basis,
which is constructed using the Hamiltonian and an initial state. We investigate the evolution …
which is constructed using the Hamiltonian and an initial state. We investigate the evolution …
Operator growth and Krylov construction in dissipative open quantum systems
A bstract Inspired by the universal operator growth hypothesis, we extend the formalism of
Krylov construction in dissipative open quantum systems connected to a Markovian bath …
Krylov construction in dissipative open quantum systems connected to a Markovian bath …
Krylov complexity in saddle-dominated scrambling
A bstract In semi-classical systems, the exponential growth of the out-of-time-order correlator
(OTOC) is believed to be the hallmark of quantum chaos. However, on several occasions, it …
(OTOC) is believed to be the hallmark of quantum chaos. However, on several occasions, it …
Krylov complexity in open quantum systems
Krylov complexity is a measure of operator complexity that exhibits universal behavior and
bounds a large class of other measures. In this paper, we generalize Krylov complexity from …
bounds a large class of other measures. In this paper, we generalize Krylov complexity from …
Krylov localization and suppression of complexity
E Rabinovici, A Sánchez-Garrido, R Shir… - Journal of High Energy …, 2022 - Springer
A bstract Quantum complexity, suitably defined, has been suggested as an important probe
of late-time dynamics of black holes, particularly in the context of AdS/CFT. A notion of …
of late-time dynamics of black holes, particularly in the context of AdS/CFT. A notion of …
Scrambling is necessary but not sufficient for chaos
We show that out-of-time-order correlators (OTOCs) constitute a probe for local-operator
entanglement (LOE). There is strong evidence that a volumetric growth of LOE is a faithful …
entanglement (LOE). There is strong evidence that a volumetric growth of LOE is a faithful …
[HTML][HTML] Ultimate speed limits to the growth of operator complexity
N Hörnedal, N Carabba… - Communications …, 2022 - nature.com
In an isolated system, the time evolution of a given observable in the Heisenberg picture can
be efficiently represented in Krylov space. In this representation, an initial operator becomes …
be efficiently represented in Krylov space. In this representation, an initial operator becomes …