Theory of dissipative chaotic atomic transport in an optical lattice

Argonov, V. Yu.; Prants, S. V.

doi:10.1103/physreva.78.043413

Cited by 31 publications

(15 citation statements)

References 53 publications

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“…For dissipative (γ > 0) systems, Eq. ( 2) is a classical approximation for a field-induced reaction undergoing spontaneous emission along a reaction coordinate [51]. Herein, we show that when a chemical reaction is forced by a temporally periodic external field, there persists a strictly recrossing-free DS.…”

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confidence: 76%

Persistence of transition-state structure in chemical reactions driven by fields oscillating in time

2014

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RAPID COMMUNICATIONSPHYSICAL REVIEW E 89, 040801(R) (2014) Chemical reactions subjected to time-varying external forces cannot generally be described through a fixed bottleneck near the transition-state barrier or dividing surface. A naive dividing surface attached to the instantaneous, but moving, barrier top also fails to be recrossing-free. We construct a moving dividing surface in phase space over a transition-state trajectory. This surface is recrossing-free for both Hamiltonian and dissipative dynamics. This is confirmed even for strongly anharmonic barriers using simulation. The power of transition-state theory is thereby applicable to chemical reactions and other activated processes even when the bottlenecks are time dependent and move across space.

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confidence: 76%

Persistence of transition-state structure in chemical reactions driven by fields oscillating in time

2014

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“…Atomic clocks using optical lattices are reported to have ultrahigh resolution [2]. Studies on nonlinear dynamics and chaotic motion due to photons recoil and lattice amplitude modulation [3][4][5] have been proposed based on the atomic motion corresponding to classically-well-understood harmonic oscillators in the optical lattice. Landau-Zener tunneling [6] by lattice acceleration and Mott insulatormetal transition [7] by using periodic modulation of the lattice amplitude have been investigated.…”

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confidence: 99%

Observation of a non-equilibrium steady state of cold atoms in a moving optical lattice

Chong¹,

Kim²,

Kim³

et al. 2018

Commun Phys

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Non-equilibrium dynamics expands our understanding on physical processes based on the conventional equilibrium physics. In particular, non-equilibrium steady states with continuous flow among them have drawn much interest related to various biochemical processes, biomolecular motors, and high-temperature quantum entanglement as well as Bose-Einstein condensates. Here we report observation of a non-equilibrium steady states of atoms achieved in a hybrid of a moving optical lattice and a surrounding cold atom cloud in a phasestabilized magneto-optical trap. A part of atoms are localized and transported in the moving optical lattice and the rest are not localized in the lattice while trapped as a cold cloud of atoms. These motional states coexist with continuous transition between them. Our model calculations well reproduce the key features of the experimental observations including stepwise transitions, confirming the existence of a non-equilibrium steady state with characteristics of asymmetric simple exclusion process in the cold atom system. A collection of cold atoms in a periodic optical potential 1,2 is a useful tool for metrological applications as well as fundamental studies. Atomic clocks using optical lattices are reported to have ultrahigh resolution 3 . Studies on nonlinear dynamics and chaotic motion due to photon recoil and lattice amplitude modulation [4][5][6] have been proposed based on the atomic motion corresponding to classically well-understood harmonic oscillators in the optical lattice. Josephson junction array of cold atoms 7 in optical lattice, Landau-Zener tunneling 8 by lattice acceleration, and Mott insulator-metal transition 9 by using periodic modulation of the lattice amplitude have been investigated. As seen in these examples, cold atom systems have experimental advantages in realizing ideal lattice models. They are much more controllable than real electron systems 10 .Recently, non-equilibrium dynamics of cold atoms has become an active research topic 11,12 , expanding our understanding based on the existing equilibrium physics. In particular, nonequilibrium steady states (NESSs), the stationary states with continuous flows among them, have drawn much interest among various non-equilibrium phenomena. For example, biochemical reactions such as ATP hydrolysis and other biomolecular motors are described by a stochastic NESS theory 13 . In quantum physics, NESS is suggested as a possible pathway to entanglement at high temperature 14 and generation of high-temperature Bose-Einstein condensates 15 . Associated with an array of particles, a particular interest lies in asymmetric simple exclusion process (ASEP) 16 , describing a driven diffusive system of one-dimensional lattice of particles hopping to other sites at a certain rate along the lattice. A model of ASEP with the Langmuir kinetics, which includes absorption and desorption of particles in a lattice connected to a reservoir, is suggested 17 to describe the NESS system of mRNA translation 18 , for example. Related to cold atom sy...

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“…However, we have to account for mechanismes of decoherence which are relevant for ultracold atoms, like optical lattice amplitude noise [9,10] or spontaneous emission [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Zitterbewegung with spin–orbit coupled ultracold atoms in a fluctuating optical lattice

Argonov¹,

Макаров²

2016

J. Phys. B: At. Mol. Opt. Phys.

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Dynamics of non-interacting ultracold atoms with artificial spin-orbit coupling is considered. Spin-orbit coupling is created using two moving optical lattices with orthogonal polarizations. Our main goal is to study influence of lattice noise on Rabi oscillations. Special attention is paid to the phenomenon of the Zitterbewegung being trembling motion caused by Rabi transitions between states with different velocities. Phase and amplitude fluctuations of lattices are modelled by means of the two-dimensional stochastic Ornstein-Uhlenbeck process, also known as harmonic noise. In the the noiseless case the problem is solved analytically in terms of the momentum representation. It is shown that lattice noise significantly extends duration of the Zitterbewegung as compared to the noiseless case. This effect originates from noise-induced decoherence of Rabi oscillations.

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Theory of dissipative chaotic atomic transport in an optical lattice

Cited by 31 publications

References 53 publications

Persistence of transition-state structure in chemical reactions driven by fields oscillating in time

Persistence of transition-state structure in chemical reactions driven by fields oscillating in time

Observation of a non-equilibrium steady state of cold atoms in a moving optical lattice

Zitterbewegung with spin–orbit coupled ultracold atoms in a fluctuating optical lattice

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