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The dynamics of Bose-Einstein condensates trapped in a deep optical lattice is governed by a discrete nonlinear equation (DNL). Its degree of nonlinearity and the intersite hopping rates are retrieved from a nonlinear tight-binding…

Condensed Matter · Physics 2009-11-10 Augusto Smerzi , Andrea Trombettoni

Quantum simulation in experiments of many-body systems may bring new phenomena which are not well studied theoretically. Motivated by a recent work of quantum simulation on a superconducting ladder circuit, we investigate the rung-pair…

Quantum Gases · Physics 2020-12-21 Shang-Shu Li , Zi-Yong Ge , Heng Fan

Recent experiments confirmed that fluctuations beyond the mean-field approximation can lead to self-bound liquid droplets of ultra-dilute binary Bose mixtures. We proceed beyond the beyond-mean-field approximation, and study liquid Bose…

Quantum Gases · Physics 2019-08-01 Clemens Staudinger , Ferran Mazzanti , Robert E. Zillich

The extended Bose-Hubbard model captures the essential properties of a wide variety of physical systems including ultracold atoms and molecules in optical lattices, Josephson junction arrays, and certain narrow band superconductors. It…

Other Condensed Matter · Physics 2017-10-25 Fei Lin , T. A. Maier , V. W. Scarola

We study stability of superflow of Bose gases in optical lattices by analyzing the Bose-Hubbard model within the Gutzwiller mean-field approximation. We calculate the excitation spectra of the homogeneous Bose-Hubbard model at unit filling…

Quantum Gases · Physics 2013-05-30 Takuya Saito , Ippei Danshita , Takeshi Ozaki , Tetsuro Nikuni

Recently, it has become apparent that, when the interactions between polar molecules in optical lattices becomes strong, the conventional description using the extended Hubbard model has to be modified by additional terms, in particular a…

Quantum Gases · Physics 2014-06-05 Michal Maik , Philipp Hauke , Omjyoti Dutta , Jakub Zakrzewski , Maciej Lewenstein

Dipolar Bose-Einstein condensates are excellent platforms for studying supersolidity, characterized by coexisting density modulation and superfluidity. The realization of dipolar mixtures opens intriguing new scenarios, most remarkably the…

Quantum Gases · Physics 2024-12-09 Daniel Scheiermann , Albert Gallemí , Luis Santos

Quantum many-body systems with fracton constraints are widely conjectured to exhibit unconventional low-energy phases of matter. In this work, we demonstrate the existence of a variety of such exotic quantum phases in the ground states of a…

Quantum Gases · Physics 2023-07-06 Philip Zechmann , Ehud Altman , Michael Knap , Johannes Feldmeier

We study a one-dimensional disordered Bose fluid using bosonization, the replica method and a nonperturbative functional renormalization-group approach. We find that the Bose-glass phase is described by a fully attractive strong-disorder…

Quantum Gases · Physics 2020-05-14 Nicolas Dupuis , Romain Daviet

We study a system of hardcore boson on a one-dimensional lattice with frustrated next-nearest neighbor hopping and nearest neighbor interaction. At half filling, for equal magnitude of nearest and next-nearest neighbor hopping, the ground…

Quantum Gases · Physics 2015-06-17 Tapan Mishra , Ramesh V. Pai , Subroto Mukerjee

We theoretically analyze the phase diagram of a quantum gas of bosons that interact via repulsive dipolar interactions. The bosons are tightly confined by an optical lattice in a quasi one-dimensional geometry. In the single-band…

Quantum Gases · Physics 2022-08-01 Rebecca Kraus , Titas Chanda , Jakub Zakrzewski , Giovanna Morigi

We show anisotropy of the dipole interaction between magnetic atoms or polar molecules can stabilize new quantum phases in an optical lattice. Using a well controlled numerical method based on the tensor network algorithm, we calculate…

Quantum Gases · Physics 2013-05-29 Y. -H. Chan , Y. -J. Han , L. -M. Duan

The spontaneously broken of translational symmetry is usually due to the competition between local interactions and long-range interactions. However, in this paper, we show how a crystalline order can be generated by the competition between…

Quantum Gases · Physics 2019-04-12 Chao Feng , Yu Chen

We investigate hard-core bosons at half filling on a three-leg ladder under the uniform artificial gauge field. By analyzing current patterns and correlation functions, we uncover a rich quantum phase diagram containing multiple superfluid…

Quantum Gases · Physics 2026-04-14 Takayuki Yokoyama , Yasuhiro Tada

We present a bosonic model, in which two bosons may form a bound pair with d-wave symmetry via the four-site ring exchange interaction. A d-wave pairing superfluid as well as a d-wave density wave (DDW) state, are proposed to be achievable…

Quantum Gases · Physics 2011-03-22 Zi Cai , Lei Wang , Jian Li , Shu Chen , X. C. Xie , Yupeng Wang

We study hard-core bosons with unfrustrated nearest-neighbor hopping $t$ and repulsive interaction $V$ on a zig-zag ladder. As a function of the boson density $\rho$ and $V/t$, the ground state displays different quantum phases. A standard…

Strongly Correlated Electrons · Physics 2015-03-17 Davide Rossini , Valeria Lante , Alberto Parola , Federico Becca

We reveal a generic mechanism of generating sign-alternating inter-site interactions mediated by strongly correlated lattice bosons. The ground state phase diagram of the two-component hard-core Bose-Hubbard model on a square lattice at…

Other Condensed Matter · Physics 2015-05-13 Ş. G. Söyler , B. Capogrosso-Sansone , N. V. Prokof'ev , B. V. Svistunov

By using a state of art tensor network state method, we study the ground-state phase diagram of an extended Bose-Hubbard model on the square lattice with frustrated next-nearest neighboring tunneling. In the hardcore limit, tunneling…

Strongly Correlated Electrons · Physics 2017-07-26 Shao-Jun Dong , Wenyuan Liu , Xiang-Fa Zhou , Guang-Can Guo , Zheng-Wei Zhou , Yong-Jian Han , Lixin He

Recent studies have suggested a new phase in the extended Bose-Hubbard model in one dimension at integer filling [1,2]. In this work, we show that this new phase is phase-separated into a supersolid and superfluid part, generated by…

We derive several upper bounds for the superfluid stiffness $D_s$ for Bose and Fermi systems in terms of expectation values of local operators using linear response theory and variational methods. These give insight into the non-trivial…

Superconductivity · Physics 2009-10-31 Arun Paramekanti , Nandini Trivedi , Mohit Randeria