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The fundamental question of how Bose-Einstein condensates tunnel into a barrier is addressed. The cubic nonlinear Schrodinger equation with a finite square well potential, which models a Bose-Einstein condensate in a quasi-one-dimensional…

Condensed Matter · Physics 2009-11-07 L. D. Carr , K. W. Mahmud , W. P. Reinhardt

We present a new way to compute and interpret quantum tunneling in a 1-D double-well potential. For large transition time we show that the quantum action functional gives an analytical expression for tunneling amplitudes. This has been…

Quantum Physics · Physics 2007-05-23 F. Paradis , H. Kroger , G. Melkonyan , K. J. M. Moriarty

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

Recent developments in the understanding of real-time path integrals led to the development of the ``steadyon picture'' for the semi-classical calculation of quantum tunneling rates. We discuss tunneling out of a generic localized initial…

High Energy Physics - Theory · Physics 2025-11-13 Joshua Lin , Bruno Scheihing-Hitschfeld , Thomas Steingasser

A simple example of especially constructed potential barrier enables to show analytically (not numerically) the existence of tunneling effect for a Sommerfeld particle.

Classical Physics · Physics 2007-05-23 Alexander A. Vlasov

Bose-Einstein condensates are studied in a potential of finite depth which supports both bound and quasi-bound states. This potential, which is harmonic for small radii and decays as a Gaussian for large radii, models experimentally…

Other Condensed Matter · Physics 2009-11-11 L. D. Carr , M. J. Holland , B. A. Malomed

A macroscopic, self-propelled wave-particle entity (WPE) that emerges as a walking droplet on the surface of a vibrating liquid bath exhibits several hydrodynamic quantum analogs. We explore the rich dynamical and quantum-like features…

Chaotic Dynamics · Physics 2025-02-17 Rahil N. Valani , Álvaro G. López

The dynamics of a particle interacting with random classical field in a two-well potential is studied by the functional integration method. The probability of particle localization in either of the wells is studied in detail. Certain…

Quantum Physics · Physics 2008-05-08 G. B. Lesovik , A. V. Lebedev , A. O. Imambekov

The performance of many superconducting devices is degraded in presence of non-equilibrium quasiparticles in the superconducting part. One promising approach towards their evacuation is the use of normal-metal quasiparticle traps, where…

Mesoscale and Nanoscale Physics · Physics 2020-05-15 R. P. Schmit , F. K. Wilhelm

We consider the properties of stationary states and the dynamics of Bose-Einstein condensates (BECs) in a double-well (DW) potential with pair tunneling by using a full quantum-mechanical treatment. Furthermore, we study the quantum quench…

Quantum Gases · Physics 2015-12-07 Linghua Wen , Qizhong Zhu , Tianfu Xu , Xili Jing , Chengshi Liu

We show that the tunnel coupling between semiclassical states localized in different minima of a smooth random potential increases when magnetic field is applied. This increase originates from the difference in gauge factors which electron…

Condensed Matter · Physics 2009-10-28 M. E. Raikh , L. I. Glazman

We use a spin-1/2 model to analyze tunnelling in a double well system coupled to an external reservoir. We consider different noise sources such as fluctuations on the height and central position of the barrier and propose an experiment to…

This paper focuses on the escape problem of a harmonically-forced classical particle from a purely-quartic truncated potential well. The latter corresponds to various engineering systems that involve purely cubic restoring force and absence…

Chaotic Dynamics · Physics 2021-05-20 Maor Farid

We present evidence that tunneling processes in near-integrable systems are enhanced due to the manifestation of nonlinear resonances and their respective island chains in phase space. A semiclassical description of this…

Chaotic Dynamics · Physics 2015-06-26 Olivier Brodier , Peter Schlagheck , Denis Ullmo

We investigate the quantum dynamics of an experimentally realized spin-orbit coupled Bose-Einstein condensate in a double well potential. The spin-orbit coupling can significantly enhance the atomic inter-well tunneling. We find the…

Quantum Gases · Physics 2015-06-03 Dan-Wei Zhang , Li-Bin Fu , Z. D. Wang , Shi-Liang Zhu

A single static magnetic impurity in a fully-gapped superconductor leads to formation of an intragap quasiparticle bound state. At temperatures much below the superconducting transition, the energy relaxation and spin dephasing of the state…

Strongly Correlated Electrons · Physics 2014-10-01 Ivar Martin , Dmitry Mozyrsky

By directly integrating the Schroedinger starting in the transmission region and working backwards through the barrier, the tunneling probability can be determined for arbitrary potential barriers. The method employs techniques familiar to…

Quantum Physics · Physics 2011-01-14 Andy Rundquist

In this work we revisit the Salecker-Wigner-Peres clock formalism and show that it can be directly applied to the phenomenon of tunneling. Then we apply this formalism to the determination of the tunneling time of a non relativistic…

Quantum Physics · Physics 2011-01-04 Marcos Calçada , José T. Lunardi , Luiz A. Manzoni

The quasi-energy spectrum recently measured in experiments with a squeeze-driven superconducting Kerr oscillator showed good agreement with the energy spectrum of its corresponding static effective Hamiltonian. The experiments also…

The low-energy-level macroscopic wave functions of the Bose-Einstein condensate(BEC) trapped in a symmetric double-well and a periodic potential are obtained by solving the Gross-Pitaevskii equation numerically. The ground state tunnel…

Other Condensed Matter · Physics 2009-11-11 Yajiang Hao , J. -Q. Liang , Yunbo Zhang