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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 present a theoretical study on the robustness of multi-photon states in a frustrated lattice of coupled nonlinear optical cavities, which are described by a driven-dissipative Bose-Hubbard model. In particular, we focus here on a Lieb…

Quantum Physics · Physics 2017-07-26 Riccardo Rota , Wim Casteels , Cristiano Ciuti

We propose and experimentally explore a method for realizing frustrated lattice models using a Bose-Einstein condensate held in an optical square lattice. A small lattice distortion opens up an energy gap such the lowest band splits into…

We study the interplay of geometric frustration and interactions in a non-equilibrium photonic lattice system exhibiting a polariton flat band as described by a variant of the Jaynes-Cummings-Hubbard model. We show how to engineer strong…

Quantum spin liquids provide paradigmatic examples of highly entangled quantum states of matter. Frustration is the key mechanism to favor spin liquids over more conventional magnetically ordered states. Here we propose to engineer…

Strongly Correlated Electrons · Physics 2021-11-29 Alessio Chiocchetta , Dominik Kiese , Carl Philipp Zelle , Francesco Piazza , Sebastian Diehl

We study the application of a square perturbing lattice to the naturally forming hexagonal arrays of dipolar droplets in a dipolar Bose-Einstein condensate. We find that the application of the lattice causes spontaneous pattern formation…

Quantum Gases · Physics 2023-04-26 Eli J. Halperin , Shai Ronen , J. L. Bohn

Artificially engineered light-matter systems constitute a novel, versatile architecture for the quantum simulation of driven, dissipative phase transitions and non-equilibrium quantum many-body systems. Here, we review recent experimental…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Sebastian Schmidt

We explore the effects of geometric frustration within a one-dimensional Bose-Hubbard model using a chain of rhombi subject to a magnetic flux. The competition of tunnelling, self-interaction and magnetic flux gives rise to the emergence of…

Quantum Gases · Physics 2018-11-21 Christine Cartwright , Gabriele De Chiara , Matteo Rizzi

Engineering long-range interacting spin systems with ultra cold atoms offers the possibility to explore exotic magnetically ordered phases in strongly-correlated scenarios. Quantum gases in optical cavities provide a versatile experimental…

We consider a Bose-Einstein condensation (BEC) inside an optical cavity and two crossed coherent pump fields. We determine the phase boundary separating the normal superfluid phase and the superradiance phase, perturbatively. In the regime…

Quantum Gases · Physics 2025-03-04 Wei Qin , Dong-Chen Zheng , Zhao-Di Wu , Yuan-Hong Chen , Renyuan Liao

The effect of geometrical frustration in a two-dimensional 1/4-filled strongly correlated electron system is studied theoretically, motivated by layered organic molecular crystals. An extended Hubbard model on the square lattice is…

Strongly Correlated Electrons · Physics 2007-05-23 Jaime Merino , Hitoshi Seo , Masao Ogata

The frustrated q-state Potts model is solved exactly on a hierarchical lattice, yielding chaos under rescaling, namely the signature of a spin-glass phase, as previously seen for the Ising (q=2) model. However, the ground-state entropy…

Statistical Mechanics · Physics 2021-06-08 Alpar Turkoglu , A. Nihat Berker

The self-organization of a Bose-Einstein condensate in a transversely pumped optical cavity is a process akin to crystallization: when pumped by a laser of sufficient intensity, the coupled matter and light fields evolve, spontaneously,…

Quantum Gases · Physics 2010-11-03 Sarang Gopalakrishnan , Benjamin L. Lev , Paul M. Goldbart

In triangular lattice structures, spatial anisotropy and frustration can lead to rich equilibrium phase diagrams with regions containing complex, highly entangled states of matter. In this work we study the driven two-rung triangular…

Strongly Correlated Electrons · Physics 2020-09-30 J. Tindall , F. Schlawin , M. Buzzi , D. Nicoletti , J. R. Coulthard , H. Gao , A. Cavalleri , M. A. Sentef , D. Jaksch

We evaluate the particle current flowing in steady state through a Bose-Einstein condensate subject to a constant force in a quasi-onedimensional lattice and to attractive interactions from fermionic atoms that are localized in various…

Statistical Mechanics · Physics 2009-11-10 P. Vignolo , Z. Akdeniz , M. P. Tosi

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

We consider a condensate of ultra cold bosonic atoms in a linear optical cavity illuminated by a two-pump configuration where each pump is making different angles with the direction of the cavity axis. We show such configuration allows a…

Quantum Gases · Physics 2023-01-31 Poornima Shakya , Amulya Ratnakar , Sankalpa Ghosh

We investigate the Lieb--Liniger model of interacting one-dimensional bosons coupled to a localized impurity, modeled by a delta barrier. While the Lieb--Liniger gas is integrable, the impurity breaks integrability and induces a transition…

Quantum Gases · Physics 2026-03-09 M. Olshanii , G. Aupetit-Diallo , S. G. Jackson , P. Vignolo , M. Albert

We present a numerical study of the dynamics of a non-ideal fluid subject to a density-dependent pseudo-potential characterized by a hierarchy of nested attractive and repulsive interactions. It is shown that above a critical threshold of…

Soft Condensed Matter · Physics 2009-11-10 A. Lamura , S. Succi

The study of geometrically frustrated many-body quantum systems is of central importance to uncover novel quantum mechanical effects. We design a scheme where ultracold bosons trapped in a one-dimensional state-dependent optical lattice are…

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