Nonadiabatic Transition Concepts, Basic Theories and Applications(2nd Edition)

Nakamura, Hiroki

doi:10.1142/9789814329781

Cited by 104 publications

(224 citation statements)

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“…(14), to which we limit our consideration. Different theoretical approaches can be used for a driven two-level system, which is described in the books and reviews [102][103][104][105][106][107]. The choice of the formalism depends on the formulation of a problem and on the parameters of the system, such as the bias offset ε 0 , driving amplitude A and frequency ω.…”

Section: Dynamical Behavior Of a Two-level Systemmentioning

confidence: 99%

Multiphoton transitions in Josephson-junction qubits (Review Article)

Shevchenko¹,

Omelyanchouk²,

Il’ichev³

2012

Low Temperature Physics

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Two basic physical models, a two-level system and a harmonic oscillator, are realized on the mesoscopic scale as coupled qubit and resonator. The realistic system includes moreover the electronics for controlling the distance between the qubit energy levels and their populations and to read out the resonator's state, as well as the unavoidable dissipative environment. Such rich system is interesting both for the study of fundamental quantum phenomena on the mesoscopic scale and as a promising system for future electronic devices.We present recent results for the driven superconducting qubit -resonator system, where the resonator can be realized as an LC circuit or a nanomechanical resonator. Most of the results can be described by the semiclassical theory, where a qubit is treated as a quantum two-level system coupled to the classical driving field and the classical resonator. Application of this theory allows to describe many phenomena for the single and two coupled superconducting qubits, among which are the following: the equilibrium-state and weak-driving spectroscopy, Sisyphus damping and amplification, Landau-Zener-Stückelberg interferometry, the multiphoton transitions of both direct and ladder-type character, and creation of the inverse population for lasing. Contents

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Section: Dynamical Behavior Of a Two-level Systemmentioning

confidence: 99%

Multiphoton transitions in Josephson-junction qubits (Review Article)

Shevchenko¹,

Omelyanchouk²,

Il’ichev³

2012

Low Temperature Physics

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“…This model can be applied in situations where the conventional Landau-Zener (LZ) model breaks down, for example in atomic collisions below or at the turning point energy [15] and more recently in inter-band tunnelling near merging Dirac points [16]. The general solution for the model does not exist in a sufficiently compact form [17].…”

Section: Introductionmentioning

confidence: 99%

Two-level parabolic model with phase-jump coupling

Lehto

Suominen

2016

Phys. Rev. A

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We study the coherent dynamics of a two-level parabolic model and ways to enhance population transfer and even to obtain complete population inversion in such models. Motivated by the complete population inversion effect of zero-area pulses found in [1], we consider a scheme where a given coupling function is transformed to a zero-area coupling by performing phase-jump in the middle of the evolution. We also derive a universal formula for the effect of the phase-jump.

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“…The dynamics of two-level systems, either induced or tailored with time-dependent external fields, have for many decades been the true workhorse for quantum optics, atomic and molecular physics [1,2,3] and more recently, for quantum information and quantum computing [4,5]. Due to the exponentially increasing interest in the latter two topics, various aspects originally studied for the purposes of atomic physics are now reexamined and developed further in the context of solid state physics.…”

Section: Introductionmentioning

confidence: 99%

Time-dependent two-level models and zero-area pulses

Lehto

Suominen

2015

Phys. Scr.

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Abstract. Time-dependent two-level models have been an important element in physics, and in particular in quantum optics since 1930's. We review the basics of these models and focus on the dynamics induced by off-resonant zero-area pulses by using a Sech-Tanh pulse model as an example. We show that the final transition probability for this model is described accurately by the Dykhne-Davis-Pechukas approach for certain parameter regions. Finally, we note the potential of such zero area pulse models in quantum control and quantum information. Time-dependent two-level models and zero-area pulses 2

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Nonadiabatic Transition Concepts, Basic Theories and Applications(2nd Edition)

Cited by 104 publications

References 0 publications

Multiphoton transitions in Josephson-junction qubits (Review Article)

Multiphoton transitions in Josephson-junction qubits (Review Article)

Two-level parabolic model with phase-jump coupling

Time-dependent two-level models and zero-area pulses

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