Quantum transitions at a level crossing of decaying states

Moyer, C. A.

doi:10.1103/physreva.64.033406

Cited by 13 publications

(16 citation statements)

References 34 publications

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“…Beyond these direct approaches, the dissipative Landau-Zener problem was discussed in many more facets. Not being able to give a full review of all works, we just mention in passing that Moyer discussed the Landau-Zener problem for decaying states involving complex energy eigenvalues [30]. Extensions to three-state systems [31] or circuit QED problems [32] have been made recently.…”

Section: Introductionmentioning

confidence: 99%

Competition between relaxation and external driving in the dissipative Landau–Zener problem

Nalbach

Thorwart

2010

Chemical Physics

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We study Landau-Zener transitions in a dissipative environment by means of the quasiadiabatic propagator path-integral scheme. It allows to obtain numerically exact results for the full range of the involved parameters. We discover a nonmonotonic dependence of the Landau-Zener transition probability on the sweep velocity which is explained in terms of a simple physical picture. This feature results from a nontrivial competition between relaxation processes and the external sweep and is not captured by perturbative approaches. In addition to the Landau-Zener transition probability, we study the excitation survival probability and also provide a qualitative understanding of the involved competition of time scales.

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Section: Introductionmentioning

confidence: 99%

Competition between relaxation and external driving in the dissipative Landau–Zener problem

Nalbach

Thorwart

2010

Chemical Physics

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“…The survival and transition probability for nonhermitean TLS-Hamiltonians has already been investigated by Moyer [20]. This has been done by mapping the original differential equation to the Weber equation, which can be solved exactly.…”

Section: Introductionmentioning

confidence: 99%

Nonadiabatic transitions for a decaying two-level system: geometrical and dynamical contributions

Schilling¹,

Vogelsberger²,

Garanin³

2006

J. Phys. A: Math. Gen.

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We study the Landau-Zener Problem for a decaying two-level-system described by a non-hermitean Hamiltonian, depending analytically on time. Use of a super-adiabatic basis allows to calculate the non-adiabatic transition probability P in the slow-sweep limit, without specifying the Hamiltonian explicitly. It is found that P consists of a "dynamical" and a "geometrical" factors. The former is determined by the complex adiabatic eigenvalues E±(t), only, whereas the latter solely requires the knowledge of α±(t), the ratio of the components of each of the adiabatic eigenstates. Both factors can be split into a universal one, depending only on the complex level crossing points, and a nonuniversal one, involving the full time dependence of E±(t). This general result is applied to the Akulin-Schleich model where the initial upper level is damped with damping constant γ. For analytic power-law sweeps we find that Stückelberg oscillations of P exist for γ smaller than a critical value γ c and disappear for γ > γ c . A physical interpretation of this behavior will be presented by use of a damped harmonic oscillator.

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“…31,39,40 There are a variety of generalizations of the Landau-Zener problem to decaying states and transitions in the literature. [40][41][42][43][44] Unfortunately, such generalizations of the Landau-Zener model cannot be used for the problems of population transfer in molecules in solutions. For example, if the population transfer occurs to an upper level decaying into continuum, 40 its population tends to zero after completion of the pulse action when t→ϱ.…”

Section: Introductionmentioning

confidence: 99%

Coherent population transfer in molecules coupled with a dissipative environment by an intense ultrashort chirped pulse

Fainberg

Горбунов

2002

The Journal of Chemical Physics

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Population transfer to excited vibrational levels of H 2 molecule by stimulated hyper-Raman passage with chirped laser pulses Erratum: "Coherent population transfer in molecules coupled with a dissipative environment by intense ultrashort chirped pulse" [J.We have studied the intense chirped pulse excitation of a molecule coupled with a dissipative environment taking into account electronic coherence effects. We considered a two-state electronic system with relaxation treated as a diffusion on electronic potential energy surfaces. This relaxation model enables us to trace continuously the transition from a coherent population transfer to incoherent one. An inhomogeneously broadened system with frozen nuclear motion is invoked to model a purely coherent transfer. We show that the type of population transfer ͑coherent or incoherent͒ strongly depends on the pulse chirp, its sign, and the detunings of the exciting pulse carrier frequency with respect to the frequency of the Franck-Condon transition. For positive chirped pulses and moderate detunings, relaxation does not hinder a coherent population transfer. Moreover, under these conditions the relaxation favors more efficient population transfer with respect to the ''coherent'' system with frozen nuclear motion.

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Quantum transitions at a level crossing of decaying states

Cited by 13 publications

References 34 publications

Competition between relaxation and external driving in the dissipative Landau–Zener problem

Competition between relaxation and external driving in the dissipative Landau–Zener problem

Nonadiabatic transitions for a decaying two-level system: geometrical and dynamical contributions

Coherent population transfer in molecules coupled with a dissipative environment by an intense ultrashort chirped pulse

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