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We study the interplay of chaos and tunnelling between two weakly-coupled Bose-Josephson junctions. The classical phase space of the composite system has a mixed structure including quasi-integrable self-trapping islands for particles and…

Quantum Gases · Physics 2022-11-09 Urbashi Satpathi , Sayak Ray , Amichay Vardi

We discuss the coherent atomic oscillations between two weakly coupled Bose-Einstein condensates. The weak link is provided by a laser barrier in a (possibly asymmetric) double-well trap or by Raman coupling between two condensates in…

Soft Condensed Matter · Physics 2016-08-31 S. Raghavan , A. Smerzi , S. Fantoni , S. R. Shenoy

In this article we consider a bosonic Josephson junction, a model system composed by two coupled nonlinear quantum oscillators which can be implemented in various physical contexts, initially prepared in a product of weakly populated…

Quantum Physics · Physics 2018-06-05 Dionisis Stefanatos , Emmanuel Paspalakis

We study correlations of observables in energy eigenstates of chaotic systems of a large size $N$. We show that the bipartite entanglement of two subsystems is quite strong, whereas macroscopic entanglement of the total system is absent. It…

Quantum Physics · Physics 2015-06-26 Ayumu Sugita , Akira Shimizu

The energy band structure and energy splitting due to quantum tunneling in two weakly linked Bose-Einstein condensates were calculated by using the instanton method. The intrinsic coherent properties of Bose Josephson junction were…

Soft Condensed Matter · Physics 2009-11-10 Wei-Dong Li , Yunbo Zhang , J. -Q. Liang

We identify the chaotic phase of the Bose-Hubbard Hamiltonian by the energy-resolved correlation between spectral features and structural changes of the associated eigenstates as exposed by their generalized fractal dimensions. The…

Quantum Gases · Physics 2025-01-24 Lukas Pausch , Edoardo G. Carnio , Alberto Rodríguez , Andreas Buchleitner

We study an atomic Josephson junction (AJJ) in presence of two interacting Bose-Einstein condensates (BECs) confined in a double well trap. We assume that bosons of different species interact with each other. The macroscopic wave functions…

Quantum Gases · Physics 2015-05-13 Giovanni Mazzarella , Marco Moratti , Luca Salasnich , Mario Salerno , Flavio Toigo

We consider a bosonic Josephson junction made of $N$ ultracold and dilute atoms confined by a quasi one-dimensional double-well potential within the two-site Bose-Hubbard model framework. The behaviour of the system is investigated at zero…

Quantum Gases · Physics 2015-03-19 Giovanni Mazzarella , Luca Salasnich , Alberto Parola , Flavio Toigo

We study the quantum dynamics of Josephson junction arrays. We find isolated groups of low-entanglement eigenstates, that persist even when the Josephson interaction is strong enough to destroy the organization of the spectrum in…

Statistical Mechanics · Physics 2022-07-22 Angelo Russomanno , Michele Fava , Rosario Fazio

In quantum statistical mechanics, it is of fundamental interest to understand how close the bipartite entanglement entropy of eigenstates of quantum chaotic Hamiltonians is to maximal. For random pure states in the Hilbert space, the…

Statistical Mechanics · Physics 2017-11-30 Lev Vidmar , Marcos Rigol

We study in detail the onset of chaos and the probability measures formed by individual Bohmian trajectories in entangled states of two-qubit systems for various degrees of entanglement. The qubit systems consist of coherent states of 1-d…

Quantum Physics · Physics 2020-06-24 Athanasios C. Tzemos , George Contopoulos

We study the dynamical generation of entanglement as a signature of chaos in a system of periodically kicked coupled-tops, where chaos and entanglement arise from the same physical mechanism. The long-time averaged entanglement as a…

Quantum Physics · Physics 2013-05-29 C. Trail , V. Madhok , I. Deutsch

We consider a Bose-Josephson junction (BJJ) formed by a binary mixture of ultracold atoms to investigate the manifestation of coherent collective dynamics on ergodicity and quantum scars, unfolding the connection between them. By tuning the…

Statistical Mechanics · Physics 2022-10-26 Debabrata Mondal , Sudip Sinha , Sayak Ray , Johann Kroha , Subhasis Sinha

We consider a chaotic many-body system (i.e., one that satisfies the eigenstate thermalization hypothesis) that is split into two subsystems, with an interaction along their mutual boundary, and study the entanglement properties of an…

Statistical Mechanics · Physics 2019-11-11 Chaitanya Murthy , Mark Srednicki

The appearance of chaotic quantum dynamics significantly depends on the symmetry properties of the system, and in cold atomic systems many of these can be experimentally controlled. In this work, we systematically study the emergence of…

Quantum Physics · Physics 2023-07-26 Tran Duong Anh-Tai , Mathias Mikkelsen , Thomas Busch , Thomás Fogarty

Chaotic features of systems of coupled Josephson junctions are studied. Manifestation of chaos in the temporal dependence of the electric charge, related to a parametric resonance, is demonstrated through the calculation of the maximal…

Superconductivity · Physics 2015-06-05 Yu. M. Shukrinov , M. Hamdipour , M. R. Kolahchi , A. E. Botha , M. Suzuki

We review the properties of chaoticity and coherence in Bose-Einstein condensation and correlations, for a dense boson system in its mean-field represented approximately by a harmonic oscillator potential. The order parameter and the nature…

High Energy Physics - Phenomenology · Physics 2015-01-27 Cheuk-Yin Wong , Wei-Ning Zhang , Jie Liu , Peng Ru

The entanglement and localization in eigenstates of strongly chaotic subsystems are studied as a function of their interaction strength. Excellent measures for this purpose are the von-Neumann entropy, Havrda-Charv{\' a}t-Tsallis entropies,…

The concept of entanglement entropy appears in multiple contexts, from black hole physics to quantum information theory, where it measures the entanglement of quantum states. We investigate the entanglement entropy in a simple model, the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Karyn Le Hur

We consider the motion of and Josephson current through a mechanically oscillating superconducting island asymmetrically embedded in a Josephson junction. The electromechanical coupling is provided by distance dependent tunneling rates…

Mesoscale and Nanoscale Physics · Physics 2012-06-04 P. Berggren , J. Fransson
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