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Using the method of quantum trajectories we study a quantum chaotic dissipative ratchet appearing for particles in a pulsed asymmetric potential in the presence of a dissipative environment. The system is characterized by directed transport…

Statistical Mechanics · Physics 2007-05-23 Gabriel G. Carlo , Giuliano Benenti , Giulio Casati , Dima L. Shepelyansky

We construct the exact position representation of a deformed quantum mechanics which exhibits an intrinsic maximum momentum and use it to study problems such as a particle in a box and scattering from a step potential, among others. In…

High Energy Physics - Theory · Physics 2012-07-09 Chee-Leong Ching , Rajesh Parwani

We present a minimal one-dimensional deterministic continuous dynamical system that exhibits chaotic behavior and complex transport properties. Our model is an overdamped rocking ratchet that is periodically kicked with a delta function…

Statistical Mechanics · Physics 2015-03-11 Daniel G. Zarlenga , Hilda A. Larrondo , Miguel Arizmendi , Fereydoon Family

Equilibration plays a fundamental role in our understanding of statistical mechanics and the long-time dynamics of many-body systems. In quantum systems, the route to equilibration is intimately related to level repulsion and quantum…

Quantum Physics · Physics 2025-10-10 V. M. Bastidas , H. L. Nourse , A. Sakurai , A. Hayashi , S. Nishio , Kae Nemoto , W. J. Munro

A quantum kicked rotor model is one of the promising systems to realize various Floquet topological phases. We consider a double-kicked rotor model for a one-dimensional quasi-spin-1/2 Bose-Einstein condensate with spin-dependent and…

Quantum Gases · Physics 2023-11-27 Yusuke Koyama , Kazuya Fujimoto , Shuta Nakajima , Yuki Kawaguchi

Universal quantum computers are potentially an ideal setting for simulating many-body quantum dynamics that is out of reach for classical digital computers. We use state-of-the-art IBM quantum computers to study paradigmatic examples of…

Quantum Physics · Physics 2019-12-17 Adam Smith , M. S. Kim , Frank Pollmann , Johannes Knolle

Periodically driven systems, or Floquet systems, exhibit many novel dynamics and interesting out-of-equilibrium phases of matter. Those phases arising with the quantum systems' symmetries, such as global $U(1)$ symmetry, can even show…

We consider classical models of the kicked rotor type, with piecewise linear kicking potentials designed so that momentum changes only by multiples of a given constant. Their dynamics display quasi-localization of momentum, or quadratic…

Quantum Physics · Physics 2015-06-23 Italo Guarneri , Giulio Casati , Volker Karle

The sensitivity of the fidelity in the kicked rotor to an acceleration is experimentally and theoretically investigated. We used a Bose-Einstein condensate exposed to a sequence of pulses from a standing light wave followed by a single…

Quantum Physics · Physics 2013-05-23 R. K. Shrestha , S. Wimberger , J. Ni , W. K. Lam , G. S. Summy

The periodically kicked quantum rotor is known for non-classical effects such as quantum localisation in angular momentum space or quantum resonances in rotational excitation. These phenomena have been studied in diverse systems mimicking…

Quantum Physics · Physics 2015-11-18 Johannes Floß , Andrei Kamalov , Ilya Sh. Averbukh , Philip H. Bucksbaum

We develop a trajectory-based approach for excited-state molecular dynamics simulations of systems subject to an external periodic drive. We combine the exact-factorization formalism, allowing to treat electron-nuclear systems in…

Chemical Physics · Physics 2021-03-31 Marco Schirò , Florian G. Eich , Federica Agostini

We study a quasi-Floquet state of a $\delta$-kicked rotor with absorbing boundaries focusing on the nature of the dynamical localization in open quantum systems. The localization lengths $\xi$ of lossy quasi-Floquet states located near the…

Quantum Physics · Physics 2009-11-13 Jung-Wan Ryu , G. Hur , Sang Wook Kim

Quantum simulation has become a promising avenue of research that allows one to simulate and gain insight into the models of High Energy Physics whose experimental realizations are either complicated or inaccessible with current technology.…

High Energy Physics - Phenomenology · Physics 2023-08-01 S. Hasibul Hassan Chowdhury , Talal Ahmed Chowdhury , Salah Nasri , Omar Ibna Nazim , Shaikh Saad

For the quantum kicked top we study numerically the distribution of Hilbert-space vectors evolving in the presence of a small random perturbation. For an initial coherent state centered in a chaotic region of the classical dynamics, the…

chao-dyn · Physics 2009-10-22 Ruediger Schack , Giacomo M. D'Ariano , Carlton M. Caves

Quantum computers are a leading platform for the simulation of many-body physics. This task has been recently facilitated by the possibility to program directly the time-dependent pulses sent to the computer. Here, we use this feature to…

Quantum Physics · Physics 2021-10-04 Mor M. Roses , Haggai Landa , Emanuele G. Dalla Torre

Using a cold atomic gas exposed to laser pulses -- a realization of the chaotic quasiperiodic kicked rotor with three incommensurate frequencies -- we study experimentally and theoretically the Anderson metal-insulator transition in three…

Quantum computers are expected to help us to achieve accurate simulation of the dynamics of many-body quantum systems. However, the limitations of current NISQ devices prevents us from realising this goal today. Recently an algorithm for…

Quantum Physics · Physics 2021-08-17 Jonathan Wei Zhong Lau , Kishor Bharti , Tobias Haug , Leong Chuan Kwek

Periodically driven quantum systems exhibit many fascinating phenomena absent in equilibrium systems, but their simulation is more challenging than that of static systems. Consequently, quantum simulation of these systems offers greater…

Quantum Physics · Physics 2025-06-03 Abhishek Kumar , Karunya Shirali , Nicholas J. Mayhall , Sophia E. Economou , Edwin Barnes

Following a recent work (briefly reviewed below) we consider temporal fluctuations in the reduced density matrix elements for a coupled system involving a pair of kicked rotors as also one made up of a pair of Harper Hamiltonians. These…

Quantum Physics · Physics 2009-11-10 Sankhasubhra Nag , Gautam Ghosh , Avijit Lahiri

A periodically kicked ring of a Bose-Einstein condensate is considered as a nonlinear generalization of the quantum kicked rotor. For weak interactions between atoms, periodic motion (anti-resonance) becomes quasiperiodic (quantum beating)…

Soft Condensed Matter · Physics 2009-11-10 Chuanwei Zhang , Jie Liu , Mark G. Raizen , Qian Niu
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