Coherent destruction of tunneling

Großmann, Frank; Dittrich, Thomas; Jung, P.; Hänggi, Peter

doi:10.1103/physrevlett.67.516

Cited by 1,055 publications

(1,076 citation statements)

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“…In addition, it is well known that the DWSL problem is analogous to the Hofstadter problem for the energy spectra of a Bloch electron under a static magnetic field [10]. In asymmetric double QWs, the phenomenon termed coherent destruction of tunneling has been discussed [11,12], in which tunneling is destroyed in a manner similar to that by DL, and further its relation with DL is understood from the viewpoint of group theory and the Landau-Zener problem [13]. Further, DL has been discussed in double-quantum-dot molecules [14] and one-dimensional lattices under the influence of ac electric and magnetic fields [15].…”

Section: Introductionmentioning

confidence: 99%

Instability of dynamic localization in the intense terahertz-driven semiconductor Wannier-Stark ladder due to the dynamic Fano resonance

et al. 2010

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The lifetime of an electronic Floquet state in a semiconductor Wannier-Stark ladder (WSL) driven by an intense monochromatic THz wave is examined based on the R-matrix Floquet theory, in which an excess density of state (DOS) corresponding to the lifetime is calculated. It is revealed that the dynamic localization (DL) characteristic of this system is unstable against Fano resonance (FR)-like inter-miniband decay mechanism caused by THz-mediated ac-Zener tunneling; in this study, this is termed as dynamic Fano resonance (DFR). The DFR is considered to be a new FR mechanism characterized by both tunable ac-ZT coupling and coexistence with shape resonance.The result obtained here is in sharp contrast with the conventional understanding without the introduction of DFR, in which the DL is very stable such that its lifetime is comparable to or greater than that of the associated WSL. It is found that the DFR mechanism generally becomes more dominant with an increase in the strength of the bias field. Further, we discuss the observation that the spectral pattern of the excess DOS is more involved for a single-photon resonant transition, namely, Ω = ω, than that for a two-photon resonant transition, namely, Ω = 2ω, where Ω and ω represent a Bloch frequency and a THz frequency, respectively. In addition, the criterion for the applicability of the DFR to the present system is also obtained.

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Section: Introductionmentioning

confidence: 99%

Instability of dynamic localization in the intense terahertz-driven semiconductor Wannier-Stark ladder due to the dynamic Fano resonance

et al. 2010

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“…Such time-dependent driving fields have most interesting implications for quantum systems like, for instance, the effect of coherent destruction of tunneling [6,7], the effect of quantum stochastic resonance [8][9][10][11][12][13][14][15][16], or the occurrence of quantum steps in hysteresis loops [13,17], to name but a few (for recent reviews, see [4,5,14,18]). Such driving fields may also be used to control and reduce decoherence in open quantum systems [19,20].…”

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confidence: 99%

Strong Coupling Theory for Tunneling and Vibrational Relaxation in Driven Bistable Systems

2001

Self Cite

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A study of the dynamics of a tunneling particle in a driven bistable potential which is moderatelyto-strongly coupled to a bath is presented. Upon restricting the system dynamics to the Hilbert space spanned by the M lowest energy eigenstates of the bare static potential, a set of coupled non-Markovian master equations for the diagonal elements of the reduced density matrix, within the discrete variale representation, is derived. The resulting dynamics is in good agreement with predictions of ab-initio real-time path integral simulations. Numerous results, analytical as well as numerical, for the quantum relaxation rate and for the asymptotic populations are presented. Our method is particularly convenient to investigate the case of shallow, time-dependent potential barriers and moderate-to-strong damping, where both a semi-classical and a Redfield-type approach are inappropriate.PACS: 82.20.Pm

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“…A perturbation theory for the Floquet equation (6) for ∆, Γ Ω yields that the driving results in a renormalized hopping matrix element ∆ → ∆ eff = J 0 (A/ Ω )∆, where J 0 denotes the zeroth-order Bessel function. Then, G 1N and G N1 vanish if the condition J 0 (A/ Ω ) = 0 is fulfilled [25,26]. Consequently, the dc current (4) and the zero-frequency noise (9) also vanish.…”

Section: Current and Noise Suppression In Two-terminal Devicesmentioning

confidence: 99%

“…the suppression of the tunnelling dynamics in an isolated bistable potential by the purely coherent influence of an oscillating bias [12,13]. The crucial point there is that the long-time dynamics in a periodically driven quantum system is no longer dominated by the energies, but rather by the so-called quasienergies [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Controlling currents through molecular wires

Kohler

Lehmann

Hänggi

2003

Superlattices and Microstructures

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We investigate the possibility of controlling by means of external laser fields both the current through molecular wires and the corresponding noise properties. It is found that an appropriate off-resonant driving field reduces the coherent transport across the molecule resulting in a strong current suppression. The relative level of transport noise, characterized by a Fano factor, exhibits characteristic maxima and minima near regimes of current suppression. In a three-terminal configuration, the field allows one to steer the current selectively towards one terminal.

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Coherent destruction of tunneling

Cited by 1,055 publications

References 20 publications

Instability of dynamic localization in the intense terahertz-driven semiconductor Wannier-Stark ladder due to the dynamic Fano resonance

Instability of dynamic localization in the intense terahertz-driven semiconductor Wannier-Stark ladder due to the dynamic Fano resonance

Strong Coupling Theory for Tunneling and Vibrational Relaxation in Driven Bistable Systems

Controlling currents through molecular wires

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