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To date, the concept of topological order relies heavily on the properties of single-particle bands. Only recently it has been realized that interactions can have a dramatic impact on topological properties not only modifying the topology…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Andrei A. Stepanenko , Maxim A. Gorlach

We investigate the dissipative dynamics of quantum population and coherence among different network topologies of a quantum network using a quantum spin model coupled to a thermal bosonic reservoir. Our study proceeds in two parts. First,…

Quantum Physics · Physics 2026-01-23 Wei-Yang Liu , Hsuan-Wei Lee

The control over the geometry and topology of quantum systems is crucial for advancing novel quantum technologies. This work provides a synthesis of recent insights into the behaviour of quantum vortices within atomic Bose-Einstein…

Quantum Gases · Physics 2024-08-20 A. Tononi , L. Salasnich , A. Yakimenko

We study the thermodynamics of Bose-Einstein condensation in a weakly interacting quasi-homogeneous atomic gas, prepared in an optical-box trap. We characterise the critical point for condensation and observe saturation of the thermal…

In this paper we propose quantum graphs as one-dimensional models with a complex topology to study Bose-Einstein condensation and phase transitions in a rigorous way. We fist investigate non-interacting many-particle systems on quantum…

Mathematical Physics · Physics 2018-01-04 Jens Bolte , Joachim Kerner

The review presents the methods of generation of nonlinear coherent excitations in strongly nonequilibrium Bose-condensed systems of trapped atoms and their properties. Non-ground-state Bose-Einstein condensates are represented by nonlinear…

Quantum Gases · Physics 2023-11-02 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

We study the coherent flow of interacting Bose-condensed atoms in mesoscopic waveguide geometries. Analytical and numerical methods, based on the mean-field description of the condensate, are developed to study both stationary as well as…

Other Condensed Matter · Physics 2009-11-13 Tobias Paul , Michael Hartung , Klaus Richter , Peter Schlagheck

We study the macroscopic quantum self-trapping effect in a mixture of Bose-Einstein condensate and a large number of quantum degenerate fermions, trapped in a double-well potential with a variable separation between the wells. The large…

Other Condensed Matter · Physics 2008-03-31 S. F. Caballero Benitez , E. A. Ostrovskaya , M. Gulacsi , Yu. S. Kivshar

We realize a one-dimensional Josephson junction using quantum degenerate Bose gases in a tunable double well potential on an atom chip. Matter wave interferometry gives direct access to the relative phase field, which reflects the interplay…

We investigate the fully quantum evolution of the population imbalance in a perfectly symmetric Bose-Josephson junction modeled by a two-mode Bose-Hubbard Hamiltonian, focusing on the validity of macroscopic quantum self-trapping beyond the…

Quantum Gases · Physics 2026-04-14 Andrea Bardin , Anna Minguzzi , Luca Salasnich

We analyze the quantum entanglement properties of bosonic particles hopping over graph structures.Mode-entanglement of a graph vertex with respect the rest of the graph is generated, starting from a product state, by turning on for a finite…

Quantum Physics · Physics 2009-11-10 Paolo Giorda , Paolo Zanardi

The interplay between novel topological states and superconductivity has garnered substantial interest due to its potential for topological quantum computing. The Josephson effect serves as a useful probe for edge superconductivity in these…

Superconductivity · Physics 2024-11-12 Junjie Qi , Chui-Zhen Chen , Juntao Song , Jie Liu , Ke He , Qing-Feng Sun , X. C. Xie

Nonequilibrium condensates of bosons subject to energy pump and dissipation are investigated, manifesting the Fr\"ohlich coherence proposed in 1968. A quantum theory is developed to capture such a nonequilibrium nature, yielding a certain…

Statistical Mechanics · Physics 2025-11-07 Feihong Liu , Chase Slowey , Xuanhua Wang , Dangyuan Lei , Jeremie Torres , Zhiyue Lu , Zhedong Zhang

Understanding how coherent quantum dynamics give way to correlation-dominated behavior in low-dimensional systems remains a central challenge in quantum many-body physics. Here, we address this problem by investigating the interplay of…

The tensor network representation of many-body quantum states, given by local tensors, provides a promising numerical tool for the study of strongly correlated topological phases in two dimension. However, tensor network representations may…

Strongly Correlated Electrons · Physics 2018-09-12 Sujeet K. Shukla , M. Burak Şahinoğlu , Frank Pollmann , Xie Chen

We demonstrate that graphs embedded on surfaces are a powerful and practical tool to generate, characterize and simulate networks with a broad range of properties. Remarkably, the study of topologically embedded graphs is non-restrictive…

Other Condensed Matter · Physics 2015-03-19 Tomaso Aste , Ruggero Gramatica , T. Di Matteo

Efficient communication between qubits relies on robust networks which allow for fast and coherent transfer of quantum information. It seems natural to harvest the remarkable properties of systems characterized by topological invariants to…

Quantum Physics · Physics 2017-11-23 Nicolai Lang , Hans Peter Büchler

Using non-equilibrium Green's functions, we studied numerically the transport properties of a Josephson junction, superconductor-topological insulator-superconductor hybrid system. Our numerical calculation shows first that…

Superconductivity · Physics 2016-05-11 Juntao Song , Haiwen Liu , Jie Liu , Yuxian Li , Robert Joynt , Qing-feng Sun , X. C. Xie

I present an overview of the physics of the Josephson effect between Bose condensed systems, with emphasis on the recently achieved BEC's in trapped alkali gases. I focus mostly on those physical phenomena that are likely to be observed…

Superconductivity · Physics 2007-05-23 Fernando Sols

We discuss physical properties of `integer' topological phases of bosons in D=3+1 dimensions, protected by internal symmetries like time reversal and/or charge conservation. These phases invoke interactions in a fundamental way but do not…

Strongly Correlated Electrons · Physics 2013-03-14 Ashvin Vishwanath , T. Senthil