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We analytically investigate the recently proposed and implemented discrete-time quantum walk based on a kicked Bose-Einstein condensate. We extend previous work on the effective dynamics by taking into account spontaneous emission due to…

量子物理 · 物理学 2019-01-23 Caspar Groiseau , Sandro Wimberger

A kicking sequence of the atom optics kicked rotor at quantum resonance can be interpreted as a quantum random walk in momentum space. We show how to steer such a random walk by applying a random sequence of intensities and phases of the…

We propose an experimental realization of discrete quantum random walks using neutral atoms trapped in optical lattices. The random walk is taking place in position space and experimental implementation with present day technology --even…

量子物理 · 物理学 2016-08-16 W. Dür , R. Raussendorf , V. M. Kendon , H. -J. Briegel

We study experimentally a quantum kicked rotor with broken parity symmetry, supporting a ratchet effect due to the presence of a classical accelerator mode. We show that the short-time dynamics is very well described by the classical…

We have realized a quantum walk in momentum space with a rubidium spinor Bose-Einstein condensate by applying a periodic kicking potential as a walk operator and a resonant microwave pulse as a coin toss operator. The generated quantum…

量子物理 · 物理学 2021-08-23 J. H. Clark , C. Groiseau , Z. N. Shaw , S. Dadras , C. Binegar , S. Wimberger , G. S. Summy , Y. Liu

Random walk has wide applications in many fields, such as machine learning, biology, physics, and chemistry. Random walk can be discrete or continuous in time and space. Asymmetric random walk could be described by drift-diffusion equation.…

统计力学 · 物理学 2024-03-01 Guoxing Lin , Shaokun Zheng

We define a random walk of a particle in $\mathbb{R}^3$ where the space is rotating. The particle is not glued to the space and will collide with it at random times, resulting in changes in its velocity and direction. After many collisions,…

概率论 · 数学 2023-12-06 Alberto M. Campos , Tarcísio P. R. Campos

Quantum random walks are the quantum counterpart of classical random walks, and were recently studied in the context of quantum computation. A quantum random walker is subject to self interference, leading to a remarkably different behavior…

We report an experimental investigation of momentum diffusion in the delta-function kicked rotor where time symmetry is broken by a two-period kicking cycle and spatial symmetry by an alternating linear potential. We exploit this, and a…

量子物理 · 物理学 2009-11-10 P. H. Jones , M. Goonasekera , D. R. Meacher , T. Jonckheere , T. S. Monteiro

The spontaneous decay of an excited atom by photon emission is one of the most common and elementary physical process present in nature and in laboratories. The decay is random in time with constant probability density, as it can be…

量子物理 · 物理学 2025-11-25 Marcello Baldo

Quantum walks are known to propagate quadratically faster than their classical counterparts and are used to model dynamics in various quantum systems. The spread of the quantum walk in position space shows anomalous diffusion behavior. By…

量子物理 · 物理学 2022-05-24 Abhaya S. Hegde , C. M. Chandrashekar

The motion of self-propelled particles is modeled as a persistent random walk. An analytical framework is developed that allows the derivation of exact expressions for the time evolution of arbitrary moments of the persistent walk's…

软凝聚态物质 · 物理学 2015-07-28 Zeinab Sadjadi , M. Reza Shaebani , Heiko Rieger , Ludger Santen

We analytically investigate the recently proposed and implemented discrete-time quantum walk based on kicked ultra-cold atoms. We show how the internal level structure of the kicked atoms leads to the emergence of a relative light-shift…

量子物理 · 物理学 2018-11-06 Caspar Groiseau , Alexander Gresch , Sandro Wimberger

Quantum walks are powerful tools not only to construct the quantum speedup algorithms but also to describe specific models in physical processes. Furthermore, the discrete time quantum walk has been experimentally realized in various…

量子物理 · 物理学 2010-06-29 Yutaka Shikano , Kota Chisaki , Etsuo Segawa , Norio Konno

Quantum random walks are shown to have non-intuitive dynamics which makes them an attractive area of study for devising quantum algorithms for long-standing open problems as well as those arising in the field of quantum computing. In the…

量子物理 · 物理学 2009-11-13 K. Manouchehri , J. B. Wang

The effect of decoherence, induced by spontaneous emission, on the dynamics of cold atoms periodically kicked by an optical lattice is experimentally and theoretically studied. Ideally, the mean energy growth is essentially unaffected by…

We numerically investigate momentum diffusion rates for the pulse kicked rotor across the quantum to classical transition as the dynamics are made more macroscopic by increasing the total system action. For initial and late time rates we…

量子物理 · 物理学 2009-11-07 A. J. Daley , A. S. Parkins , R. Leonhardt , S. M. Tan

Chaotic walking of cold atoms in a tilted optical lattice, created by two counter propagating running waves with an additional external field, is demonstrated theoretically and numerically in the semiclassical and Hamiltonian…

量子物理 · 物理学 2012-05-22 S. V. Prants , V. O. Vitkovsky

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…

统计力学 · 物理学 2007-05-23 Gabriel G. Carlo , Giuliano Benenti , Giulio Casati , Dima L. Shepelyansky

Spontaneous emission is one of the most fundamental out-of-equilibrium processes in which an excited quantum emitter relaxes to the ground state due to quantum fluctuations. In this process, a photon is emitted that can interact with other…

介观与纳米尺度物理 · 物理学 2023-12-05 Erik Petrovish Navarro-Barón , Herbert Vinck-Posada , Alejandro González-Tudela
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