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Reversible part of evolution equations of physical systems is often generated by a Poisson bracket. We discuss geometric means of construction of Poisson brackets and their mutual coupling (direct, semidirect and matched-pair products) as…

Mathematical Physics · Physics 2017-01-13 Oğul Esen , Michal Pavelka , Miroslav Grmela

Spectroscopy is a powerful tool to probe physical, chemical, and biological systems. Recent advances in microfabrication have introduced novel, intriguing mesoscopic quantum systems including superconductor-semiconductor hybrid devices and…

Mesoscale and Nanoscale Physics · Physics 2021-11-04 J. Griesmar , R. H. Rodriguez , V. Benzoni , J. -D. Pillet , J. -L. Smirr , F. Lafont , Ç. Ö. Girit

We present experimental results on a Josephson parametric amplifier tailored for readout of ultra-sensitive thermal microwave detectors. In particular, we discuss the impact of fabrication details on the performance. We show that the small…

We derive a one-step extension of the well known Swanson oscillator that describes a specific type of pseudo-Hermitian quadratic Hamiltonian connected to an extended harmonic oscillator model. Our analysis is based on the use of the…

Mathematical Physics · Physics 2015-08-04 Bijan Bagchi , Ian Marquette

Parametric amplifiers are known to squeeze the vacuum state of the electromagnetic field, which results in predictable statistics of the photocounts at their output. However, recent theoretical work arXiv:1112.4159 predicts a very different…

Quantum Physics · Physics 2023-05-08 Jean Olivier Simoneau , Stéphane Virally , Christian Lupien , Bertrand Reulet

The Operator Product Expansion approach to scattering amplitudes in maximally supersymmetric gauge theory operates in terms of pentagon transitions for excitations propagating on a color flux tube. These obey a set of axioms which allow one…

High Energy Physics - Theory · Physics 2016-12-21 A. V. Belitsky

We theoretically analyze two setups of low energy single-photon counters based on Josephson junctions (JJ). For this, we propose two simple and general models, based on the macroscopic quantum tunneling formalism (MQT). The first setup is…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 D. V. Anghel , K. Kulikov , Y. M. Galperin , L. S. Kuzmin

By using analytical and Worldline Monte Carlo approaches, we investigate the effects induced by quantum phase fluctuations combined with quasiparticle subgap and shunt resistances on a small-capacitance Josephson junction. By using the…

Josephson junctions, as pivotal components of modern technologies such as superconducting quantum computing, owe their prominence to their unique nonlinear properties at low temperatures. Despite their extensive use in static…

Superconductivity · Physics 2025-01-06 Sajjad Taravati

Two-mode squeezed vacuum states are a crucial component of quantum technologies. In the microwave domain, they can be produced by Josephson ring modulator which acts as a three-wave mixing non-degenerate parametric amplifier. Here, we solve…

Quantum Physics · Physics 2023-03-29 Dong Hwan Kim , Su-Yong Lee , Zaeill Kim , Taek Jeong , Duk Y. Kim

We demonstrate full frequency conversion in the microwave domain using a Josephson three-wave mixing device pumped at the difference between the frequencies of its fundamental eigenmodes. By measuring the signal output as a function of the…

We address the problem of the bosonization of finite fermionic systems with two different approaches. First we work in the path integral formalism, showing how a truly bosonic effective action can be derived from a generic fermionic one…

Nuclear Theory · Physics 2007-05-23 Maria B. Barbaro , Maria R. Quaglia

The bosonic Josephson junction, one of the maximally simple models for periodic-driven many-body systems, has been intensively studied in the past two decades. Here, we revisit this problem with five different methods, all of which have…

Quantum Gases · Physics 2024-10-01 Xiaoshui Lin , Zeyu Rao , Ming Gong

This is a comprehensive review of the random-matrix approach to the theory of phase-coherent conduction in mesocopic systems. The theory is applied to a variety of physical phenomena in quantum dots and disordered wires, including universal…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 C. W. J. Beenakker

We derive, via fourth order perturbation theory, an expression for the Josephson current through a gated interacting quantum dot. We analyze our expression for two different models of the superconductor-dot-superconductor (SDS) system. When…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Rozhkov , D. P. Arovas , F. Guinea

We present optimal control strategies for the DC transport across a Josephson junction. Specifically, we consider a junction in which the Josephson coupling is driven parametrically, with either a bichromatic or a trichromatic driving…

Superconductivity · Physics 2024-03-12 Hannah Kleine-Pollmann , Guido Homann , Ludwig Mathey

We present a full quantum analysis of resonant forward four-wave mixing based on electromagnetically induced transparency (EIT). In particular, we study the regime of efficient nonlinear conversion with low-intensity fields that has been…

Quantum Physics · Physics 2009-11-07 Mattias T. Johnsson , Michael Fleischhauer

We present a systematic derivation of the Heisenberg evolution of a trilinear bosonic Hamiltonian system in presence of a strong drive beyond the standard approximation of a classical, undepleted driving field. We employ a perturbative…

Quantum Physics · Physics 2026-04-01 Hanzhong Zhang , Avi Pe'er

A Josephson junction embedded in a dissipative circuit can be externally driven to induce nonlinear dynamics of its phase. Classically, under sufficiently strong driving and weak damping, dynamic multi-stability emerges associated with…

Mesoscale and Nanoscale Physics · Physics 2019-05-08 Jennifer Gosner , Björn Kubala , Joachim Ankerhold

We show how the properties of photon emission to a continuous field from a parametric oscillator relate to the behavior of the complex eigenfrequencies of the oscillator. The parametric oscillator has complex eigenfrequencies due to…

Quantum Physics · Physics 2025-06-17 Kazuki Kanki , Satoshi Tanaka
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