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We investigate the occurrence of direct and dual Shapiro steps for a Josephson junction coupled to a finite-size transmission line resonator. We treat both problems through a circuit QED approach with a large, but finite number of photon…

Mesoscale and Nanoscale Physics · Physics 2024-12-09 Federico Borletto , Luca Giacomelli , Cristiano Ciuti

We discuss the known construction of two interacting superconducting circuits, based on Josephson junctions, that can be precisely engineered and easily controlled. In particular, we use the parametric excitation of two circuits, realized…

Quantum Physics · Physics 2016-05-26 Evgenii Glushkov , Anastasiia Glushkova , V. I. Man'ko

In this letter, we report the observation of the correlation between two modes of microwave radiation resulting from the amplification of quantum noise by the Josephson Parametric Converter. This process, seen from the pump, can be viewed…

Superconductivity · Physics 2010-11-18 N. Bergeal , F. Schackert , L. Frunzio , M. H. Devoret

Classical polarizable approaches have become the gold standard for simulating complex systems and processes in the condensed phase. These methods describe intrinsically dissipative polarizable media, requiring a formal definition within the…

We develop a theory for non-degenerate parametric resonance in a tunable superconducting cavity. We focus on nonlinear effects that are caused by nonlinear Josephson elements connected to the cavity. We analyze parametric amplification in a…

Quantum Physics · Physics 2017-08-31 Waltraut Wustmann , Vitaly Shumeiko

Experiments that subject underdoped $\rm{YBa_2Cu_3O_{6+x}}$ (YBCO) to intense terahertz pulses at temperatures between the transition temperature $T_c$ and the pseudogap scale $T^*$ have revealed a reflectivity edge that resembles that of…

Superconductivity · Physics 2026-05-22 Marios H. Michael , Eugene Demler , Patrick Lee

We solve the problem of an interacting quantum dot embedded in a Josephson junction between two superconductors with finite charging energy described by the transmon (Cooper pair box) Hamiltonian. The approach is based on the flat-band…

Mesoscale and Nanoscale Physics · Physics 2026-04-13 Luka Pavešić , Rok Žitko

We investigate the Josephson effect in one triple-terminal junction with embedded parallel-coupled double quantum dots. It is found that the inter-superconductor supercurrent has opportunities to oscillate in $4\pi$ period, with the…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Guang-Yu Yi , Xiao-Qi Wang , Zhen Gao , Hai-Na Wu , Wei-Jiang Gong

A microscopic theory of optical transitions in quantum dots with carrier-phonon interaction is developed. Virtual transitions into higher confined states with acoustic phonon assistance add a quadratic phonon coupling to the standard linear…

Condensed Matter · Physics 2009-11-10 E. A. Muljarov , R. Zimmermann

We present a model for multi-wavelength mixing in semiconductor optical amplifiers (SOAs) based on coupled-mode equations. The proposed model applies to all kinds of SOA structures, takes into account the longitudinal dependence of carrier…

Optics · Physics 2016-05-04 Cristian Antonelli , Antonio Mecozzi , Wangzhe Li , Larry Coldren

The weak quantum signal amplification is an essential task in quantum computing. In this study, a recently introduced structure of Josephson junctions array called Blochnium (N series Quarton structure) is utilized as a parametric…

Quantum Physics · Physics 2024-09-05 A. Salmanogli , H. Zandi , M. Akbari

High-gain microwave amplifiers operating near quantum limit are crucial for development of quantum technology. However, a systematic theoretical modeling and simulations of their performance represent rather challenging tasks due to the…

Statistical Mechanics · Physics 2022-07-01 Artem Ryabov , Martin Žonda , Tomáš Novotný

We present the point-coupling Hamiltonian as a model for frequency-independent linear optical devices acting on propagating optical modes described as a continua of harmonic oscillators. We formally integrate the Heisenberg equations of…

Quantum Physics · Physics 2019-10-30 Rahul Trivedi , Kevin Fischer , Sattwik Deb Mishra , Jelena Vuckovic

We generalize the stochastic path integral formalism by considering Hamiltonian dynamics in the presence of general Markovian noise. Kramers' solution of the activation rate for escape over a barrier is generalized for non-Gaussian driving…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eugene V. Sukhorukov , Andrew N. Jordan

We introduce a novel near-quantum-limited amplifier with a large tunable bandwidth and high dynamic range - the Josephson Array Mode Parametric Amplifier (JAMPA). The signal and idler modes involved in the amplification process are realized…

Quantum Physics · Physics 2020-02-18 V. V. Sivak , S. Shankar , G. Liu , J. Aumentado , M. H. Devoret

We propose to dynamically control the conductivity of a Josephson junction composed of two weakly coupled one dimensional condensates of ultracold atoms. A current is induced by a periodically modulated potential difference between the…

Quantum Gases · Physics 2021-02-10 Beilei Zhu , Vijay Pal Singh , Junichi Okamoto , Ludwig Mathey

We present a new type of phase- and frequency-sensitive amplification and attenuation in a cyclically driven three-level superconducting Josephson system. Different from the previous linear theory of pure phase-sensitive amplification, a…

Quantum Physics · Physics 2015-12-29 Hai-Chao Li , Hai-Yang Zhang , Qing He , Guo-Qin Ge

We show that the magnetoplasmon collective modes in quasi-two-dimensional semiconductor quantum dots can be parametrically amplified by periodically modulating the magnetic field perpendicular to the nanostructure. The two magnetoplasmon…

Mesoscale and Nanoscale Physics · Physics 2011-10-04 Guillaume Weick , Eros Mariani

The standard phenomenological Hamiltonian of a small superconducting Josephson junction in the charge regime (Cooper Pair Box) produces a model of the effective charge qubit with possible applications to quantum information processing. In…

Quantum Physics · Physics 2010-04-29 Robert Alicki

In this work we first examine transverse and longitudinal fluxes in a $\cal PT$-symmetric photonic dimer using a coupled-mode theory. Several surprising understandings are obtained from this perspective: The longitudinal flux shows that the…

Optics · Physics 2017-08-16 Li Ge , Konstantinos G. Makris , Lingxuan Zhang