# Slow heating in a quantum coupled kicked rotors system

@article{Notarnicola2020SlowHI, title={Slow heating in a quantum coupled kicked rotors system}, author={Simone Notarnicola and Alessandro Silva and Rosario Fazio and Angelo Russomanno}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2020}, volume={2020} }

We consider a finite-size periodically driven quantum system of coupled kicked rotors which exhibits two distinct regimes in parameter space: a dynamically-localized one with kinetic-energy saturation in time and a chaotic one with unbounded energy absorption (dynamical delocalization). We provide numerical evidence that the kinetic energy grows subdiffusively in time in a parameter region close to the boundary of the chaotic dynamically-delocalized regime. We map the different regimes of the…

## 13 Citations

### Chaos and subdiffusion in infinite-range coupled quantum kicked rotors

- PhysicsPhysical Review B
- 2021

We map the infinite-range coupled quantum kicked rotors over a infinite-range coupled interacting bosonic model. In this way we can apply exact diagonalization up to quite large system sizes and…

### Many-body dynamical delocalization in a kicked one-dimensional ultracold gas

- PhysicsNature Physics
- 2022

Contrary to a driven classical system that exhibits chaotic behaviour and diffusive energy growth, a kicked quantum system can exhibit the emergence of dynamical localization, which limits energy…

### Observation of Many-body Dynamical Delocalization in a Kicked Ultracold Gas

- Physics
- 2021

Contrary to a driven classical system that exhibits chaos phenomena and diffusive energy growth, a driven quantum system can exhibit dynamical localization that features energy saturation. However,…

### Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential

- Physics
- 2022

The quantum kicked rotor is well-known for displaying dynamical (Anderson) localization. It has recently been shown that a periodically kicked Tonks gas will always localize and converge to a finite…

### Extended nonergodic regime and spin subdiffusion in disordered SU(2)-symmetric Floquet systems

- Physics
- 2020

We explore thermalization and quantum dynamics in a one-dimensional disordered SU(2)-symmetric Floquet model, where a many-body localized phase is prohibited by the non-abelian symmetry. Despite the…

### Low-energy prethermal phase and crossover to thermalization in nonlinear kicked rotors

- PhysicsPhysical Review A
- 2022

In the presence of interactions, periodically-driven quantum systems generically thermalize to an inﬁnite-temperature state. Recently, however, it was shown that in random kicked rotors with local…

### Effective thermalization of a many-body dynamically localized Bose gas

- PhysicsPhysical Review A
- 2021

Dynamical localization is the analog of Anderson localization in momentum space, where the system’s energy saturates and the single-particle wave-functions are exponentially localized in momentum…

### Nonergodic behavior of the clean Bose-Hubbard chain

- Physics
- 2020

We study ergodicity breaking in the clean Bose-Hubbard chain for small hopping strength. We see the clear existence of a non-ergodic regime by means of indicators as the half-chain entanglement…

### Quasilocalization dynamics in a Fibonacci quantum rotor

- PhysicsPhysical Review A
- 2022

We analyze the dynamics of a quantum kicked rotor (QKR) driven with a binary Fibonacci sequence of two distinct drive amplitudes. While the dynamics at low drive frequencies is found to be diﬀusive,…

### Observability of fidelity decay at the Lyapunov rate in few-qubit quantum simulations

- PhysicsQuantum
- 2022

In certain regimes, the fidelity of quantum states will decay at a rate set by the classical Lyapunov exponent. This serves both as one of the most important examples of the quantum-classical…

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