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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…

We report on the engineering of a non-dispersive (flat) energy band in a geometrically frustrated lattice of micro-pillar optical cavities. By taking advantage of the non-hermitian nature of our system, we achieve bosonic condensation of…

Mesoscale and Nanoscale Physics · Physics 2016-02-18 F. Baboux , L. Ge , T. Jacqmin , M. Biondi , A. Lemaître , L. Le Gratiet , I. Sagnes , S. Schmidt , H. E. Türeci , A. Amo , J. Bloch

Quantum systems with geometrical frustration remain an outstanding challenge for numerical simulations due to the infamous numerical sign problem. Here, we overcome this obstruction via complex path integration in a geometrically frustrated…

Strongly Correlated Electrons · Physics 2024-07-02 Elyasaf Y. Cohen , Andrei Alexandru , Snir Gazit

Geometric frustration, arising from competing interactions that prevent simultaneous energy minimization, presents a fundamental challenge for variational quantum algorithms applied to quantum many-body systems. We investigate the…

Quantum Physics · Physics 2026-04-14 Sandip Maiti

Magnetism plays a key role in modern technology as essential building block of many devices used in daily life. Rich future prospects connected to spintronics, next generation storage devices or superconductivity make it a highly dynamical…

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…

Synthetic materials are obtained by assembling atoms or artificial atoms into regular arrays, thereby forming artificial crystals that offer powerful platforms to emulate and explore condensed-matter phenomena in highly controlled settings.…

Mesoscale and Nanoscale Physics · Physics 2026-04-29 Sylvain Ravets

We present design techniques of special optical lattices that allow quantum simulation of spin frustration in two-dimensional systems. By carefully overlaying optical lattices with different periods and orientations, we are able to adjust…

Strongly Correlated Electrons · Physics 2015-06-12 Zhi-Xin Chen , Han Ma , Mo-Han Chen , Xiang-Fa Zhou , Lixin He , Guang-Can Guo , Xingxiang Zhou , Yan Chen , Zheng-Wei Zhou

Geometric frustration is known to completely damage kinetic processes of some of the orbitals (and their associated quantum coherence) as to produce flat bands in the non-interacting systems. The impact of introducing additional interaction…

Strongly Correlated Electrons · Physics 2024-08-08 Xinyao Zhang , Matheus S. M. de Sousa , Xinyi Li , Anthony Hegg , Wei Ku

Light-matter interfaces have now entered a new stage marked by the ability to engineer quantum correlated states under driven-dissipative conditions. To propel this new generation of experiments, we are confronted with the need to model…

Disordered Systems and Neural Networks · Physics 2025-01-16 Hossein Hosseinabadi , Darrick E. Chang , Jamir Marino

We theoretically and experimentally investigate quantum features of an interacting light-matter system from a multidisciplinary perspective, unifying approaches from semiconductor physics, quantum optics, and quantum information science. To…

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…

Geometrically frustrated many-particle quantum systems are notoriously hard to study numerically but are of profound interest because of their unusual properties and emergent phenomena. In these systems energetic constraints cannot be…

Quantum Gases · Physics 2023-12-15 Jirayu Mongkolkiattichai , Liyu Liu , Davis Garwood , Jin Yang , Peter Schauss

Quantum antiferromagnets with geometrical frustration exhibit rich many-body physics but are hard to simulate by means of classical computers. Although quantum-simulation studies for analyzing such systems are thus desirable, they are still…

Quantum Gases · Physics 2020-04-09 Daisuke Yamamoto , Takeshi Fukuhara , Ippei Danshita

Frustration in the presence of competing interactions is ubiquitous in the physical sciences and is a source of degeneracy and disorder, giving rise to new and interesting physical phenomena. Perhaps nowhere does it occur more simply than…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Cristiano Nisoli , Roderich Moessner , Peter Schiffer

The role of geometrical frustration in strongly interacting bosonic systems is studied with a combined numerical and analytical approach. We demonstrate the existence of a novel quantum phase featuring both Bose-Einstein condensation and…

Disordered Systems and Neural Networks · Physics 2009-11-18 Giuseppe Carleo , Marco Tarzia , Francesco Zamponi

Geometric frustration can significantly increase the complexity and richness of many-body physics and, for instance, suppress antiferromagnetic order in quantum magnets. Here, we employ ultracold bosonic $^{39}$K atoms in a triangular…

Geometric frustration leads to complex phases of matter with exotic properties. Antiferromagnets on triangular lattices and square ice are two simple models of geometrical frustration. We map their highly degenerated ground-state phase…

Statistical Mechanics · Physics 2015-05-13 Yilong Han

Frustration, or the competition between interacting components of a network, is often responsible for the complexity of many body systems, from social and neural networks to protein folding and magnetism. In quantum magnetic systems,…

Geometric frustration lies at the heart of many unconventional quantum phases in strongly interacting electron systems. Here, we analytically determine the ground state magnetization of the half-filled Hubbard model on frustrated geometries…

Strongly Correlated Electrons · Physics 2025-09-10 F. P. M. Méndez-Córdoba , J. Tindall , D. Jaksch , F. Schlawin
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