Model of multiphoton transitions in a current-biased Josephson junction

Tornes, I.; Stroud, D.

doi:10.1103/physrevb.77.224513

Cited by 8 publications

(5 citation statements)

References 29 publications

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“…( 68), we can see that the resonances take place at k ω = |ε 0 | ≈ ∆E. Multi-photon processes are being studied in various systems: superconducting qubits (Saito et al, 2004;Shevchenko et al, 2012b;Tornes and Stroud, 2008;Wallraff et al, 2003), two-dimensional electron systems (Zudov et al, 2006), atomic and molecular structures (Arbó et al, 2010), Rydberg atoms ( van Ditzhuijzen et al, 2009;Førre, 2004), TLSs in superconducting circuits (Burin et al, 2014), quantum dots (Giavaras and Tokura, 2019a,b), and electromechanical systems (Heinrich et al, 2010).…”

Section: Multi-photon Transitions Meet Lzsm Theorymentioning

confidence: 99%

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Ivakhnenko¹,

Shevchenko²,

Nori³

2022

Preprint

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H. Comparison of different methods IV. Interferometry A. Superconducting circuits B. Semiconductor quantum dots C. Donors and impurities (atomic qubits) D. Graphene E. Microscopic systems F. Other systems G. Multilevel systems V. Quantum control A. Coherent control of microscopic and mesoscopic structures B. Universal single-and two-qubit control C. Shortcuts to adiabaticity D. Adiabatic quantum computation VI. Related classical coherent phenomena VII. Conclusion 1. With near-adiabatic limit (Landau) 2. With parabolic cylinder functions (Zener) 3. With contour integrals (Majorana) 4. With WKB approximation and phase integral method (Stückelberg) 5. Duration of the LZSM transition B. Description of a periodically driven two-level system 1. Adiabatic-impulse model a. Adiabatic evolution b. Multiple-passage evolution 2. Rotating-wave approximation (RWA) 3. Floquet theory 4. Rate equation and white noise approach a. Transition rate b. Rate equation c. From Bessel to Airy d. Double-passage regime ReferencesAbbreviations and most-often-used symbols Because this review article is quite long, for the readers' convenience, we present the main abbreviations used. This list also includes some of the topics covered.

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Section: Multi-photon Transitions Meet Lzsm Theorymentioning

confidence: 99%

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Ivakhnenko¹,

Shevchenko²,

Nori³

2022

Preprint

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“…Being time averaged, the Rabi oscillations are described by the Lorentzian dependence of the upper-level occupation on the system's parameters (the bias or the driving frequency) [118]. Here arises an interesting and important problem of distinction of the respective quantum oscillations from their classical counterparts, which are the parametric resonances.…”

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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“…If the phase qubit is working in a regime with k B T E C E J , where E J , E C , k B and T are Josephson energy, charging energy, Boltzmann constant and temperature, respectively. The Hamiltonian of the superconducting phase qubit can be described by the form [26] Ĥqu = (2e…”

Section: The Physical System Of Qubit With Torsional Resonator and It...mentioning

confidence: 99%

Dispersive reservoir influence on the superconducting phase qubit

Homid¹,

Mohamed²,

Hessian³

2015

Preprint

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In this article, an analytical description is presented based on the master equation. This master equation is formed from the system of superconducting phase qubit which is coupled to a torsional resonator and damped by a dispersive reservoir. An analytical approach for searching of some physical phenomena on the qubit system is presented, such as qubit inversion, purity and negativity. In addition, these phenomena are discussed for the resonance and off-resonance cases for many different initial states. From computational results, it is found that the mentioned phenomena depend on the dispersive reservoir parameter which leads to their death. However, the complete destruction of system coherence in the presence of dispersive reservoir leads to the death of entanglement between the qubit and torsional resonator.

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Model of multiphoton transitions in a current-biased Josephson junction

Cited by 8 publications

References 29 publications

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Multiphoton transitions in Josephson-junction qubits (Review Article)

Dispersive reservoir influence on the superconducting phase qubit

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