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The dynamics of a one dimensional quantum walker on the lattice with two internal degrees of freedom, the coin states, is considered. The discrete time unitary dynamics is determined by the repeated action of a coin operator in U(2) on the…

Mathematical Physics · Physics 2010-04-26 Alain Joye , Marco Merkli

Using a quantum map version of one-dimensional Anderson model, the localization-delocalization transition of quantum diffusion induced by coherent dynamical perturbation is investigated in comparison with quantum standard map. Existence of…

Disordered Systems and Neural Networks · Physics 2016-01-20 Hiroaki S. Yamada , Fumihiro Matsui , Kensuke S. Ikeda

Using the path integral approach to equilibrium statistical physics the effect of dissipation on Landau diamagnetism is calculated. The calculation clarifies the essential role of the boundary of the container in which the electrons move.…

Statistical Mechanics · Physics 2009-11-11 Malay Bandyopadhyay , Sushanta Dattagupta

Quantum theory for measurements of energy is introduced and its consequences for the average position of monitored dynamical systems are analyzed. It turns out that energy measurements lead to a localization of the expectation values of…

Quantum Physics · Physics 2009-10-30 Roberto Onofrio , Lorenza Viola

The prominent Dicke superradiant phase arises from coupling an ensemble of atoms to cavity optical field when external optical pumping exceeds a threshold strength. Here we report a prediction of the superrandiant instability driven by…

Quantum Gases · Physics 2020-03-25 Honghao Yin , Jie Hu , An-Chun Ji , G. Juzeliunas , Xiong-jun Liu , Qing Sun

We investigate Anderson localization of light as occurring in ultra-short excitations. A theory based on time dependent coupled-mode equations predicts universal features in the spectrum of the transmitted pulse. In particular, the process…

Optics · Physics 2010-03-15 Claudio Conti , Andrea Fratalocchi , Silvia Gentilini

Strongly interacting quantum systems subject to quenched disorder exhibit intriguing phenomena such as glassiness and many-body localization. Theoretical studies have mainly focused on disorder in the form of random potentials, while many…

Quantum Physics · Physics 2022-11-22 Adrian Braemer , Titus Franz , Matthias Weidemüller , Martin Gärttner

Disorder-induced Anderson localization in quasiparticle transport is a challenging problem to address, even more so in the presence of dissipation as the symptoms of disorder-induced localization are very closely simulated by the absorption…

Optics · Physics 2018-11-21 M. Balasubrahmaniyam , Ajay Nahata , Sushil Mujumdar

The aim of this paper is to demonstrate, by simple numerical simulations, the main transport properties of disordered electron systems.

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Peter Markos

The center of mass of a bright soliton in a Bose-Einstein condensate may reveal Anderson localization in the presence of a weak disorder potential. We analyze the effects of interactions between two bright solitons on the Anderson…

Quantum Gases · Physics 2012-09-19 Marcin Płodzień , Krzysztof Sacha

We present the first experimental evidence for the existence of strongly localized photonic modes due to random two dimensional fluctuations in the dielectric constant. In one direction, the modes are trapped by ordered Bragg reflecting…

Mesoscale and Nanoscale Physics · Physics 2010-04-20 Y. Kodriano , D. Gershoni , E. Linder , B. Shapiro , M. E. Raikh , J. P. Reithmaier , S. Reitzenstein , A. Löffler , A. Forchel

Great progress has been made in the last several years towards understanding the properties of disordered electronic systems. In part, this is made possible by recent advances in quantum effective medium methods which enable the study of…

Disordered Systems and Neural Networks · Physics 2019-05-09 Hanna Terletska , Yi Zhang , Ka Ming Tam , Tom Berlijn , L. Chioncel , N. S. Vidhyadhiraja , Mark Jarrell

This paper presents the first experimental evidence of the transition from dynamical localization to delocalization under the influence of a quasi-periodic driving on a quantum system. A quantum kicked rotator is realized by placing cold…

Atomic Physics · Physics 2007-05-23 Jean Ringot , Pascal Szriftgiser , Jean-Claude Garreau , Dominique Delande

We study Anderson localization of single particles in continuous, correlated, one-dimensional disordered potentials. We show that tailored correlations can completely change the energy-dependence of the localization length. By considering…

Disordered Systems and Neural Networks · Physics 2013-03-28 Marie Piraud , Laurent Sanchez-Palencia

Determinism is established in quantum mechanics by tracing the probabilities in the Born rules back to the absolute (overall) phase constants of the wave functions and recognizing these phase constants as pseudorandom numbers. The reduction…

Quantum Physics · Physics 2019-07-25 Arthur Jabs

We explore the measurement problem in the entropic dynamics approach to quantum theory. The dual modes of quantum evolution---either continuous unitary evolution or abrupt wave function collapse during measurement---are unified by virtue of…

Quantum Physics · Physics 2015-05-30 David T. Johnson , Ariel Caticha

By using dissipativity approach, we establish the stability condition for the feedback connection of a deterministic dynamical system $\Sigma$ and a stochastic memoryless map $\Psi$. After that, we extend the result to the class of large…

Systems and Control · Electrical Eng. & Systems 2020-05-08 Koji Tsumura , Binh Minh Nguyen , Hisaya Wakayama , Shinji Hara

We generalize the definition of localization length to disordered systems driven by a time-periodic potential using a Floquet-Green function formalism. We study its dependence on the amplitude and frequency of the driving field in a…

Disordered Systems and Neural Networks · Physics 2009-11-11 Dario F. Martinez , Rafael A. Molina

We present a mapping between the Edwards model of disorder describing the motion of a single particle subject to randomly-positioned static scatterers and the Bose polaron problem of a light quantum impurity interacting with a Bose-Einstein…

Quantum Gases · Physics 2022-02-07 Félix Rose , Richard Schmidt

Displacement sensing is a fundamental task in metrology. However, the development of quantum-enhanced sensors that fully utilize the available degrees of freedom in many-body quantum systems remains an outstanding challenge. We propose…