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We consider quantum walks defined on arbitrary infinite graphs, parameterized by a family of scattering matrices attached to the vertices. Multiplying each scattering matrix by an i.i.d. random phase, we obtain a random scattering quantum…

Mathematical Physics · Physics 2026-02-16 Alain Joye , Andreas Schaefer , Simone Warzel

The angle coordinate of the Quantum Kicked Rotator problem is treated as if it were an extended coordinate. A new mechanism for destruction of coherence by noise is analyzed using both heuristic and formal approach. Its effectiveness…

chao-dyn · Physics 2007-05-23 Doron Cohen

We present a study of the transport properties of a general class of quantum mechanical waveguides: Quantum Railroads (QRR). These waveguides are characterised by having a different number of adiabatic modes which carry current in one…

Condensed Matter · Physics 2016-08-31 C. Barnes , B. L Johnson , G. Kirczenow

The quantum motion of $N$ coupled kicked rotors is mapped to an interacting $N$-particle Anderson-Aubry-Andr$\'e$ tight-binding problem supporting many-body localised (MBL) phases. Interactions in configuration space are known to be…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 L. A. Toikka , A. Andreanov

We observe and study the phenomenon of Anderson localization in a system of true quantum kicked rotors. Nitrogen molecules in a supersonic molecular jet are cooled down to 27~K and are rotationally excited by a periodic train of…

Quantum Physics · Physics 2016-10-05 Martin Bitter , Valery Milner

Quantum kicked rotor was recently realized in experiments with cold atomic gases and standing optical waves. As predicted, it exhibits dynamical localization in the momentum space. Here we consider the weak localization regime concentrating…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. Tian , A. Kamenev , A. Larkin

Quantum recurrence and dynamic localization are investigated in a class of ac-driven tight-binding Hamiltonians, the Krawtchouk quantum chain, which in the undriven case provides a paradigmatic Hamiltonian model that realizes perfect…

Quantum Physics · Physics 2015-06-19 Stefano Longhi

We study the combined effect of quasiperiodic disorder, driven and interaction in the periodically kicked Aubry-Andr\'{e} model. In the non-interacting limit, by analyzing the quasienergy spectrum statistics, we verify the existence of a…

Disordered Systems and Neural Networks · Physics 2022-08-26 Yu Zhang , Bozhen Zhou , Haiping Hu , Shu Chen

Characterizing out-of-equilibrium many-body dynamics is a complex but crucial task for quantum applications and the understanding of fundamental phenomena. A central question is the role of localization in quenching quantum thermalization,…

Disordered Systems and Neural Networks · Physics 2018-02-20 Ken Xuan Wei , Chandrasekhar Ramanathan , Paola Cappellaro

We study the dynamical localization of discrete time evolution of topological split-step quantum random walk (QRW) on a single-site defect starting from a uniform distribution. Using analytical and numerical calculations, we determine the…

Quantum Physics · Physics 2025-02-14 D. O. Oriekhov , Guliuxin Jin , Eliska Greplova

Dynamic localization, which originates from the phenomena of particle evolution suppression under an externally applied AC electric field, has been simulated by suppressed light evolution in periodically-curved photonic arrays. However,…

Dynamically localized states in quantum many-body systems are fundamentally important in understanding quantum thermalization and have applications in quantum information processing. Here we explore many-body dynamical localization (MBDL)…

Quantum Physics · Physics 2025-08-27 Ling-Zhi Tang , Dan-Wei Zhang , Hai-Feng Yu , Z. D. Wang

We study coined Random Quantum Walks on the hexagonal lattice, where the strength of disorder is monitored by the coin matrix. Each lattice site is equipped with an i.i.d. random variable that is uniformly distributed on the torus and acts…

Mathematical Physics · Physics 2025-10-22 Andreas Schaefer

Anderson localization physics features three fundamental types of eigenstates: extended, localized, and critical, with the third one exhibiting the exotic properties in-between the former two. Confirming the presence of critical states is…

By employing a nonlinear quantum kicked rotor model, we investigate the transport of energy in multidimensional quantum chaos. Parallel numerical simulations and analytic theory demonstrate that the interplay between nonlinearity and…

Disordered Systems and Neural Networks · Physics 2013-01-23 D. S. Brambila , A. Fratalocchi

We study the dynamics of a particle in continuous time and space, the displacement of which is governed by an internal degree of freedom (spin). In one definite limit, the so-called quantum random walk is recovered but, although quite…

Quantum Physics · Physics 2009-11-10 Claude Aslangul

Long-lasting quantum exponential spreading was recently found in a simple but very rich dynamical model, namely, an on-resonance double-kicked rotor model [J. Wang, I. Guarneri, G. Casati, and J. B. Gong, Phys. Rev. Lett. 107, 234104…

Chaotic Dynamics · Physics 2013-12-04 Hailong Wang , Jiao Wang , Italo Guarneri , Giulio Casati , Jiangbin Gong

The evolution of local spin polarization in finite systems involves interference phenomena that give rise to {\bf quantum dynamical echoes }and non-ergodic behavior. We predict the conditions to observe these echoes by exploiting the NMR…

Condensed Matter · Physics 2009-10-28 Horacio M. Pastawski , Patricia R. Levstein , Gonzalo Usaj

We propose a quantum rotation diversity (QRD) scheme for optical quantum communication using binary phase-shift-keying displaced squeezed states and homodyne detection over Gamma-Gamma turbulence channels. Consecutive temporal modes are…

Information Theory · Computer Science 2026-01-27 Ioannis Krikidis

We study two central qubits interacting with a transverse-field Ising chain that serves as their environment. The environment is driven linearly in time across its quantum critical points (QCPs) and, during the evolution, is subjected to…

Quantum Physics · Physics 2026-02-12 R. Jafari , Ali Asadian , Mehdi Biderang , Alireza Akbari
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