Environmental rocking ratchet: Environmental rectification by a harmonically driven avoided crossing

Nalbach, P.; Klinkenberg, N.; Palm, T.; Müller, Nina

doi:10.1103/physreve.96.042134

Cited by 12 publications

(15 citation statements)

References 25 publications

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“…However, when the phase difference ∆ϕ is fixed, the limitation condition of amplitude can be eliminated. 4…”

Section: Theoretical Analysismentioning

confidence: 99%

“…The theoretical and experimental investigations of ratchet transport of a Brownian particle have attracted much attention in recent years [1][2][3][4][5][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] for its wide range of potential applications. The transport phenomenon appears in many fields, such as in molecular motors, 2,5,[7][8][9][10][11][12] nanotechnologies of biological systems such as ion pumps, [25][26][27] artificial nanopores 28 and cold atoms in optical lattices, 29,30 etc.…”

Section: Introductionmentioning

confidence: 99%

“…It is found that the direction of the current is affected by the asymmetric parameters and heights of two potentials. Recently, there have been some extensive discussions shifting from the spatial asymmetry to the temporal asymmetry, for example, the transport effects driven by biharmonic force have been investigated in dissipative rocking ratchets, 3,4 Brownian particle transport effect, 5 the ring laser system, 24 etc. Rozenbaum et al 12 considered two basic types of Brownian motors in a periodic asymmetric piecewise-linear potential and observed the temporal asymmetry has an opposite effect on the conventional and generalized efficiencies in time and in amplitude.…”

Section: Introductionmentioning

confidence: 99%

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Ratchet effects of a Brownian particle system with non-Gaussian noise driven by a biharmonic force

Luo

2019

Mod. Phys. Lett. B

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The ratchet effect of an overdamped Brownian particle subjected to a spatially symmetric potential driven by a biharmonic temporal force is investigated when a non-Gaussian noise is considered. It is found that the noise intensity and the departure from the Gaussian noise will suppress the ratchet transport effect, while the noise color will strengthen the ratchet transport effect. In the same time, the phase difference mainly changes the direction of the transport. It is also shown that the abundant transport phenomenon is due to the breaking of symmetry for the biharmonic force.

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“…However, when the phase difference ∆ϕ is fixed, the limitation condition of amplitude can be eliminated. 4…”

Section: Theoretical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Ratchet effects of a Brownian particle system with non-Gaussian noise driven by a biharmonic force

Luo

2019

Mod. Phys. Lett. B

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“…26,28 Nalbach et al studied extensively thermal effects in the dissipative LZSM model using the quasi-adiabatic propagator path integral method and the nonequilibrium Bloch equations. [29][30][31][32][33] A random-variable driving approach pioneered in Refs. 34 and 35 has been used by Stockburger 36 as well as by Orth et al 37,38 in the present context.…”

Section: Introductionmentioning

confidence: 99%

Davydov-Ansatz for Landau-Zener-Stueckelberg-Majorana transitions in an environment: Tuning the survival probability via number state excitation

Werther

Großmann

Huang

et al. 2019

The Journal of Chemical Physics

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We theoretically investigate transitions in a two-level system, which are induced by a sweep through an avoided crossing in the presence of coupling to a single, excited bosonic mode. This allows us to propose the initial bosonic excitation into a number state as a new possible control parameter for the survival probability at long times. The expansion of number states in terms of coherent states centered around points on a circle in phase space makes a multi-Davydov-Ansatz the method of choice to perform the required numerical calculations. It is revealed that the starting time of the transition greatly affects the final transition probabilities. In addition, we found that the mixing angle, which is tuning between the diagonal and off-diagonal coupling, is decisive for the ability to control the transition via number state excitation. For a mixing angle of π/4, we found the maximal effect of number state excitation on the transition probability.Published under license by AIP Publishing. https://doi. ARTICLEscitation.org/journal/jcp FIG. 7. Transition probabilities as a function of n: θ = 0 (blue), θ = π/4 (red), and θ = π/2 (green). APPENDIX: PROPERTIES OF THE DISPLACEMENT OPERATOR AND THE LAGUERRE POLYNOMIALSIn the following, we collect properties of the displacement operator and its action on number states that are frequently needed in

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“…The external control of the qubit population can be realized in the same experimental setup to engineer photon delocalization in the Rabi dimer by applying two independent magnetic fields on the two qubits. It is thus necessary to extend the successful method to study the dynamics of the tunable Rabi dimer in a dissipative bath [20,[29][30][31]. With respect to the dynamics of the tunable Rabi dimer, qubit polarization and photon dynamics affected by qubit-photon and qubit-phonon interactions have not received adequate attention.…”

Section: Introductionmentioning

confidence: 99%

Dissipative dynamics in a tunable Rabi dimer with periodic harmonic driving

Huang

Zheng

Zhang

et al. 2019

The Journal of Chemical Physics

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Recent progress on qubit manipulation allows application of periodic driving signals on qubits. In this study, a harmonic driving field is added to a Rabi dimer to engineer photon and qubit dynamics in a circuit quantum electrodynamics device. To model environmental effects, qubits in the Rabi dimer are coupled to a phonon bath with a sub-Ohmic spectral density. A non-perturbative treatment, the Dirac-Frenkel time-dependent variational principle together with the multiple Davydov D2 Ansatz is employed to explore the dynamical behavior of the tunable Rabi dimer. In the absence of the phonon bath, the amplitude damping of the photon number oscillation is greatly suppressed by the driving field, and photons can be created thanks to resonances between the periodic driving field and the photon frequency. In the presence of the phonon bath, one still can change the photon numbers in two resonators, and indirectly alter the photon imbalance in the Rabi dimer by directly varying the driving signal in one qubit. It is shown that qubit states can be manipulated directly by the harmonic driving. The environment is found to strengthen the interqubit asymmetry induced by the external driving, opening up a new venue to engineer the qubit states. arXiv:1905.06272v1 [quant-ph]

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Environmental rocking ratchet: Environmental rectification by a harmonically driven avoided crossing

Cited by 12 publications

References 25 publications

Ratchet effects of a Brownian particle system with non-Gaussian noise driven by a biharmonic force

Ratchet effects of a Brownian particle system with non-Gaussian noise driven by a biharmonic force

Davydov-Ansatz for Landau-Zener-Stueckelberg-Majorana transitions in an environment: Tuning the survival probability via number state excitation

Dissipative dynamics in a tunable Rabi dimer with periodic harmonic driving

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