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In a closed single-particle quantum system, spatial disorder induces Anderson localization of eigenstates and halts wave propagation. The phenomenon is vulnerable to interaction with environment and decoherence, that is believed to restore…

Disordered Systems and Neural Networks · Physics 2018-01-17 I. I. Yusipov , T. V. Laptyeva , M. V. Ivanchenko

A novel quantum dynamical model based on the dissipative quantum dynamics of open quantum systems is presented. It allows the treatment of both deep-inelastic processes and quantum tunneling (fusion) within a fully quantum mechanical…

Nuclear Theory · Physics 2009-11-13 Alexis Diaz-Torres , David Hinde , Mahananda Dasgupta , Gerard Milburn , Jeff Tostevin

We give a theoretical study of unusual resistive (dynamic) localized states in anisotropic Josephson junction ladders, driven by a DC current at one edge. These states comprise nonlinearly coupled rotating Josephson phases in adjacent…

Pattern Formation and Solitons · Physics 2009-11-07 M. V. Fistul , J. B. Page

We propose a model describing the formation of both dual (quantum) and classical Shapiro steps in small Josephson junctions. According to this model, the dual Shapiro steps are formed at relatively low frequency of the microwave signal and…

We study the long time coherence dynamics of a two-mode Bose-Hubbard model in the Josephson interaction regime, as a function of the relative phase and occupation imbalance of an arbitrary coherent preparation. We find that the variance of…

Quantum Gases · Physics 2015-06-04 Christine Khripkov , Doron Cohen , Amichay Vardi

We consider a Bose-Einstein condensate in a double-well potential undergoing a dynamical transition from the regime of Josephson oscillations to the regime of self-trapping. We analyze the statistical properties of the ground state (or the…

Quantum Gases · Physics 2010-05-13 B. Julia-Diaz , D. Dagnino , M. Lewenstein , J. Martorell , A. Polls

We present experimental observation of broken-symmetry states in a superconducting loop with three Josephson junctions. These states are generic for discrete breathers in Josephson ladders. The existence region of the breather-like states…

Superconductivity · Physics 2009-11-07 F. Pignatelli , A. V. Ustinov

A Josephson junction may be in a stable odd parity state when a single quasiparticle is trapped in an Andreev bound state. Embedding such junction in an electromagnetic environment gives rise to a special quantum mechanics of…

Superconductivity · Physics 2023-09-07 Manuel Houzet , Julia S. Meyer , Yuli V. Nazarov

Breathing solitons are nonlinear waves in which the energy concentrates in a localized and oscillatory fashion. Similarly to stationary solitons, breathers in dissipative systems can form stable bound states displaying molecule-like…

The dynamics of bosons in Josephson junctions have drawn much attention where the bosons are initially condensed. When interacting bosons tunnel back and forth along the junction, depletion and eventually fragmentation develop. Here, we…

Quantum Gases · Physics 2025-01-07 Anal Bhowmik , Ofir E. Alon

We study superconducting quantum interference in a Josephson junction linked via edge states in two-dimensional (2D) insulators. We consider two scenarios in which the 2D insulator is either a topological or a trivial insulator supporting…

Mesoscale and Nanoscale Physics · Physics 2022-08-16 Tamás Haidekker Galambos , Silas Hoffman , Patrik Recher , Jelena Klinovaja , Daniel Loss

Quantum phase diffusion in a small underdamped Nb/AlO$_x$/Nb junction ($\sim$ 0.4 $\mu$m$^2$) is demonstrated in a wide temperature range of 25-140 mK where macroscopic quantum tunneling (MQT) is the dominant escape mechanism. We propose a…

Superconductivity · Physics 2015-05-27 H. F. Yu , X. B. Zhu , Z. H. Peng , Ye Tian , D. J. Cui , G. H. Chen , D. N. Zheng , X. N. Jing , Li Lu , S. P. Zhao , Siyuan Han

We consider interacting vortices in a quasi-one-dimensional array of Josephson junctions with small capacitance. If the charging energy of a junction is of the order of the Josephson energy, the fluctuations of the superconducting order…

Superconductivity · Physics 2009-10-31 C. Bruder , L. I. Glazman , A. I. Larkin , J. E. Mooij , A. van Oudenaarden

We consider a new approach to the problem of Bose-Einstein condensation (BEC) of polaritons for atom-field interaction under the strong coupling regime in the cavity. We investigate the dynamics of two macroscopically populated polariton…

Quantum Physics · Physics 2007-09-20 A. P. Alodjants , S. M. Arakelian , S. N. Bagayev , V. S. Egorov , A. Yu. Leksin

For the Josephson junction charge qubits with macroscopically quantum natures, we propose a theoretical scheme to observe the loss of quantum coherence through coupling such qubit system to an engineered reservoir, the harmonic oscillator…

Quantum Physics · Physics 2007-05-23 Y. D. Wang , Y. B. Gao , C. P. Sun

The Josephson effect can be observed in a Bose-Einstein condensate in a double-well potential, which is attributed to the tunneling of bosons between two wells. We propose a multi-mode theory to investigate the dynamics of local excitations…

Quantum Gases · Physics 2025-06-19 Yaojun Ying , Haoyu Wang , Ming Zhang , Haibin Li

We examine the dynamics of a Bose-Einstein condensate in a symmetric double-well potential for a broad range of non-linear couplings. We demonstrate the existence of a region, beyond those of Josephson oscillations and self-trapping, which…

Quantum Gases · Physics 2011-01-11 B. Juliá-Díaz , J. Martorell , M. Melé-Messeguer , A. Polls

We consider a two component Bose-Einstein condensate in two spatially localized modes of a double well potential, with periodic modulation of the tunnel coupling between the two modes. We treat the driven quantum field using a two mode…

Condensed Matter · Physics 2009-11-07 G. L. Salmond , C. A. Holmes , G. J. Milburn

We investigate the macroscopic dynamics of Josephson charge pumps in the light of Alicki et al.'s theoretical description of the Josephson junction as an open quantum system described by a Markovian master equation. Once the electrostatic…

Quantum Physics · Physics 2025-09-30 Ankit Kumar , Luis Cort , Marcin Łobejko , Alejandro Jenkins , Michał Horodecki

In close analogy to quantum electrodynamics, we derive a quantum field theory of Josephson plasma waves (JPWs) in layered superconductors (LSCs), which describes two types of interacting JPW bosonic quanta: one massive and the other…

Superconductivity · Physics 2007-05-23 Sergey Savel'ev , A. L. Rakhmanov , Franco Nori