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Quantum tunneling constitutes one of the most fundamental processes in nature. We observe resonantly-enhanced long-range quantum tunneling in one-dimensional Mott-insulating Hubbard chains that are suddenly quenched into a tilted…

The creation of tunable open quantum systems is becoming feasible in current experiments with ultracold atoms in low-dimensional traps. In particular, the high degree of experimental control over these systems allows detailed studies of…

Quantum Gases · Physics 2015-04-17 R. Lundmark , C. Forssén , J. Rotureau

We present an approach for evaluating Wannier functions, offering an alternative perspective on their role in many-body systems. Unlike traditional methods, such as the maximally localized Wannier functions approach, which focuses on…

Strongly Correlated Electrons · Physics 2025-01-09 Matteo Zendra , Fausto Borgonovi , Giuseppe Luca Celardo , Shmuel Gurvitz

We present thorough analysis of the nonlinear tunneling of Bose-Einstein condensates in static and accelerating two-dimensional lattices within the framework of the mean-field approximation. We deal with nonseparable lattices considering…

Other Condensed Matter · Physics 2007-10-02 V. A. Brazhnyi , V. V. Konotop , V. Kuzmiak , V. S. Shchesnovich

We show that multi-orbital and density-induced tunneling have a significant impact on the phase diagram of bosonic atoms in optical lattices. Off-site interactions lead to density-induced hopping, the so-called bond-charge interactions,…

Quantum Gases · Physics 2012-03-27 D. -S. Lühmann , O. Jürgensen , K. Sengstock

In the probabilistic approach to quantum many-body systems, the ground-state energy is the solution of a nonlinear scalar equation written either as a cumulant expansion or as an expectation with respect to a probability distribution of the…

Statistical Mechanics · Physics 2013-04-04 Andrea Di Stefano , Massimo Ostilli , Carlo Presilla

The ongoing quest for understanding nonequilibrium dynamics of complex quantum systems underpins the foundation of statistical physics as well as the development of quantum technology. Quantum many-body scarring has recently opened a window…

We consider a Bose-Hubbard trimer, i.e. an ultracold Bose gas populating three quantum states. The latter can be either different sites of a triple-well potential or three internal states of the atoms. The bosons can tunnel between…

Quantum Gases · Physics 2015-07-17 A. Gallemí , M. Guilleumas , J. Martorell , R. Mayol , A. Polls , B. Juliá-Díaz

We examine the spectral structure and many-body dynamics of two and three repulsively interacting bosons trapped in a one-dimensional double-well, for variable barrier height, inter-particle interaction strength, and initial conditions. By…

Quantum tunneling dominates coherent transport at low temperatures in many systems of great interest. In this work we report a many--body tunneling (MBT), by nonperturbatively solving the Anderson multi-impurity model, and identify it a…

Mesoscale and Nanoscale Physics · Physics 2017-01-24 WenJie Hou , YuanDong Wang , JianHua Wei , ZhenGang Zhu , YiJing Yan

To explore superfluidity in flat-band systems, we consider a Bose-Hubbard model on a cross-linked ladder with $\pi$ flux, which has a flat band with a gap between the other band for noninteracting particles, where we study the effect of the…

Strongly Correlated Electrons · Physics 2013-12-10 Shintaro Takayoshi , Hosho Katsura , Noriaki Watanabe , Hideo Aoki

In this work, we study the out-of-equilibrium many-body tunneling dynamics of a Bose-Einstein condensate in a two-dimensional radial double well. We investigate the impact of interparticle repulsion and compare the influence of angular…

The extended Bose-Hubbard model for a double-well potential with pair tunneling is studied through both exact diagonalization and mean field theory (MFT). When pair tunneling is strong enough, the ground state wavefunction predicted by the…

Quantum Gases · Physics 2015-05-05 Qizhong Zhu , Qi Zhang , Biao Wu

Entanglement and its propagation are central to understanding a multitude of physical properties of quantum systems. Notably, within closed quantum many-body systems, entanglement is believed to yield emergent thermodynamic behavior.…

Using a simple model for nonlinear Landau-Zener tunneling between two energy bands of a Bose-Einstein condensate in a periodic potential, we find that the tunneling rates for the two directions of tunneling are not the same. Tunneling from…

Soft Condensed Matter · Physics 2009-11-10 M. Jona-Lasinio , O. Morsch , M. Cristiani , N. Malossi , J. H. Müller , E. Courtade , M. Anderlini , E. Arimondo

The pursuit of superconducting-based quantum computers has advanced the fabrication of and experimentation with custom lattices of qubits and resonators. Here, we describe a roadmap to use present experimental capabilities to simulate an…

Quantum Physics · Physics 2020-06-29 Yariv Yanay , Jochen Braumüller , Simon Gustavsson , William D. Oliver , Charles Tahan

The study of interaction between the particle and lattice degrees of freedom is one of the central interests in the quantum many-body systems. The Z2 Bose-Hubbard model has been proposed to describe ultracold bosons in a dynamical optical…

Quantum Gases · Physics 2025-01-28 Yuma Watanabe , Shohei Watabe , Tetsuro Nikuni

The extended Bose-Hubbard model for a double-well potential with atom-pair tunneling is studied. Starting with a classical analysis we determine the existence of three different quantum phases: self-trapping, phase-locking and Josephson…

Statistical Mechanics · Physics 2017-04-12 Diefferson Rubeni , Jon Links , Phillip Isaac , Angela Foerster

Tunneling of a quasibound state is a non-smooth process in the entangled many-body case. Using time-evolving block decimation, we show that repulsive (attractive) interactions speed up (slow down) tunneling, which occurs in bursts. While…

Quantum Gases · Physics 2017-05-31 Diego A. Alcala , Joseph A. Glick , Lincoln D. Carr

Cold atoms in optical lattices allow for accurate studies of many body dynamics. Rapid time-dependent modifications of optical lattice potentials may result in significant excitations in atomic systems. The dynamics in such a case is…

Quantum Gases · Physics 2013-05-30 Mateusz Lacki , Jakub Zakrzewski