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We review the theoretical model and experimental realization of the atom optics $\delta-$kicked rotor (AOKR), a paradigm of classical and quantum chaos. We have performed a number of experiments with an all-optical Bose-Einstein condensate…

Quantum Physics · Physics 2015-06-04 A. Ullah , S. K. Ruddell , J-A. Currivan , M. D. Hoogerland

We study the creation of knotted ultracold matter waves in Bose-Einstein condensates via coherent two-photon Raman transitions with a $\Lambda$ level configuration. The Raman transition allows an indirect transfer of atoms from the internal…

Quantum Gases · Physics 2016-07-05 F. Maucher , S. A. Gardiner , I. G. Hughes

The ground state entanglement of the two-mode Bose-Einstein condensate is investigated through a quantum phase transition approach. The entanglement measure is taken as the order parameter and this is a non-local order parameter, which is…

Quantum Physics · Physics 2012-02-23 Wei Fan , Yan Xu. Bing Chen , Zhaoyang Chen , Xunli Feng , C. H. Oh

We study a system of $N$ Bose atoms trapped by a symmetric harmonic potential, interacting via weak central forces. Considering the ground state of the rotating system as a function of the two conserved quantities, the total angular…

Statistical Mechanics · Physics 2009-11-07 M. S. Hussein , O. K. Vorov

We study a Bose-Einstein condensate at the low energy limit and show that their collective dynamics exhibit interesting quantum dynamical behavior. The system undergoes a dynamical quantum phase transition after a sudden quench into a…

Quantum Physics · Physics 2019-11-26 Mehdi Abdi

We study a transversely pumped atomic Bose-Einstein Condensate coupled to a single-mode optical cavity, where effective atom-atom interactions are mediated by pump and cavity photons. A number of experiments and theoretical works have shown…

The scattering phase shift of an electron transferred through a quantum dot is studied within a model Hamiltonian, accounting for both the electron--electron interaction in the dot and a finite temperature. It is shown that, unlike in an…

Condensed Matter · Physics 2009-10-28 Yuval Oreg , Yuval Gefen

Spintronics relies on the ability to transport and utilize the spin properties of an electron rather than its charge. We describe a spin rachet at the single-electron level that produces spin currents with no net bias or charge transport.…

Mesoscale and Nanoscale Physics · Physics 2011-03-02 Marius V. Costache , Sergio O. Valenzuela

We analyze the role of impurities in the fractional quantum Hall effect using a highly controllable system of ultracold atoms. We investigate the mechanism responsible for the formation of plateaux in the resistivity/conductivity as a…

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…

Quantum Physics · Physics 2021-08-23 J. H. Clark , C. Groiseau , Z. N. Shaw , S. Dadras , C. Binegar , S. Wimberger , G. S. Summy , Y. Liu

We develop a hybrid semiclassical method to study the time evolution of one dimensional quantum systems in and out of equilibrium. Our method handles internal degrees of freedom completely quantum mechanically by a modified time evolving…

Statistical Mechanics · Physics 2019-03-20 Catalin Pascu Moca , Márton Kormos , Gergely Zaránd

PT-symmetric quantum mechanics allows finding stationary states in mean-field systems with balanced gain and loss of particles. In this work we apply this method to rotating Bose-Einstein condensates with contact interaction which are known…

Quantum Physics · Physics 2018-03-21 Daniel Haag , Dennis Dast , Holger Cartarius , Günter Wunner

Controlling the translational motion of cold atoms using optical lattice potentials is of both theoretical and experimental interest. By designing two on-resonance time sequences of kicking optical lattice potentials, a novel connection…

Quantum Physics · Physics 2015-05-13 Jiao Wang , Anders S. Mouritzen , Jiangbin Gong

In this paper, we design and experimentally implement various robust quantum unitary transformations (gates) acting on $d$-dimensional vectors (qudits) by tuning a single control parameter using optimal control theory. The quantum state is…

Quantum Physics · Physics 2025-09-16 E. Flament , N. Ombredane , F. Arrouas , D. Ronco , B. Peaudecerf , D. Sugny , D. Guéry-Odelin

We experimentally investigate the effects of phase noise on the resonant and non-resonant dynamics of the atom-optics kicked rotor. Employing sinusoidal phase modulation at various frequencies, resonances are found corresponding to periodic…

Quantum Physics · Physics 2014-11-21 D. H. White , S. K. Ruddell , M. D. Hoogerland

We investigate the dynamics and outcome of a quantum phase transition from an antiferromagnetic to phase separated ground state in a spin-1 Bose-Einstein condensate of ultracold atoms. We explicitly demonstrate double universality in…

Quantum Gases · Physics 2013-09-25 Emilia Witkowska , Jacek Dziarmaga , Tomasz Świsłocki , Michał Matuszewski

We present a comprehensive account of directed transport in one-dimensional Hamiltonian systems with spatial and temporal periodicity. They can be considered as Hamiltonian ratchets in the sense that ensembles of particles can show directed…

Chaotic Dynamics · Physics 2007-05-23 Holger Schanz , Thomas Dittrich , Roland Ketzmerick

Spontaneously crystalline ground states, called quantum crystals, of a trapped Rydberg-dressed Bose-Einstein condensate are numerically investigated. As a result described by a mean-field order parameter, such states simultaneously possess…

Quantum Gases · Physics 2016-11-25 C. -H. Hsueh , T. -C. Lin , T. -L. Horng , W. C. Wu

We study the coherent cooperative phenomena of the system composed of two interacting atomic ensembles in the thermodynamic limit. Remarkably, the system exhibits the Dicke-like quantum phase transition and entanglement behavior although…

Optics · Physics 2012-02-27 Shi-Biao Zheng

Ratchet dynamics of topological solitons of the forced and damped discrete double sine-Gordon system are studied. Directed transport occurring both in regular and in chaotic regions of the phase space and its dependence on damping,…

Pattern Formation and Solitons · Physics 2015-05-22 J. Cuevas , B. Sánchez-Rey , M. Salerno