Vibronic Spectroscopy of an Artificial Molecule

Gunnarsson, David; Tuorila, Jani; Paila, Antti; Sarkar, Jayanta; Thuneberg, E. V.; Makhlin, Yuriy; Hakonen, Pertti

doi:10.1103/physrevlett.101.256806

Cited by 14 publications

(17 citation statements)

References 32 publications

(52 reference statements)

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“…Such transitions were studied both in microscopic systems [2,125], and in the Josephson-junction qubits [126][127][128]. Also for the case of a flux qubit it was demonstrated that the persistence of Rabi oscillations can be supported by either the low-frequency signal [129] or induced by noise [130].…”

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 method has been used in the literature 21,26,27 but, to our knowledge, has not been properly justified. There has been many experiments in the field of superconducting Josephson qubits 5,8,9,28 which could have been interpreted in terms of the probe absorption spectroscopy of the quasienergy levels. Nevertheless, only one measurement has invoked the method 6 .…”

Section: Introductionmentioning

confidence: 99%

Probe spectroscopy of quasienergy states

et al. 2013

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The present qubit technology, in particular in Josephson qubits, allows an unprecedented control of discrete energy levels. This motivates a new study of the old pump-probe problem, where a discrete quantum system is driven by a strong drive and simultaneously probed by a weaker one. The strong drive is included by the Floquet method and the resulting quasienergy states are then studied with the probe. We study a qubit where the harmonic drive has a significant longitudinal component relative to the static equilibrium state of the qubit. Both analytical and numerical methods are used to solve the problem. We present calculations with realistic parameters and compare the results with recent experimental results. A short introduction to the Floquet method and the probe absorption is given.

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“…For their understanding, the interference phenomena can be considered from different points of view: as interference between successive Landau-Zener (LZ) tunneling events [7][8][9], analogous to optical Mach-Zehnder interference [10], or in terms of spin dynamics [11]. In charge-phase qubits, strongly coupled to a microwave resonator, analogy with vibrational transitions in diatomic molecules has been pointed out [12]. The fact that the latter phenomena are related to interference effects has its origin in the phase-space dynamics [13].…”

Section: Introductionmentioning

confidence: 99%

Interband transitions and interference effects in superconducting qubits

Paila¹,

Tuorila

Sillanpää³

et al. 2009

Quantum Inf Process

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We investigate phase-sensitive interference effects in a periodically sin(2π f rf t)-driven, artificial two-state system connected to a microwave resonator at f LC 800 MHz. We observe two kinds of multiphoton transitions in the twostate system, accompanied by: (1) Several quanta from the drive at f rf and (2) one quantum at f rf and several at f LC . The former are described using phase-sensitive Landau-Zener transitions, while the latter are discussed in terms of vibronic transitions in diatomic molecules. Interference effects in the vibronic transitions governed by Franck-Condon coefficients are also considered.

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Vibronic Spectroscopy of an Artificial Molecule

Cited by 14 publications

References 32 publications

Multiphoton transitions in Josephson-junction qubits (Review Article)

Multiphoton transitions in Josephson-junction qubits (Review Article)

Probe spectroscopy of quasienergy states

Interband transitions and interference effects in superconducting qubits

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