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There has been a recent resurgence of experimental efforts to quantitatively determine the phase diagram of the Bose Hubbard model by carefully analyzing experiments with ultracold bosonic atoms on an optical lattice. In many realizations…

Strongly Correlated Electrons · Physics 2008-08-14 J. K. Freericks

The anisotropic Dicke model reveals the important role that counter-rotating wave terms play in the coupling between light and two level atoms. It is intriguing to generate the model to the strongly correlated many body case, where the…

Quantum Physics · Physics 2025-03-19 Bao-Yun Dong , Yanhua Zhou , Wei Wang , Tao Wang

We obtain the quantum phase diagram of the ionic Hubbard model including electron-hole symmetric density-dependent hopping. The boundaries of the phases are determined by crossing of excited levels with particular discrete symmetries, which…

Strongly Correlated Electrons · Physics 2023-04-11 P. Roura Bas , A. A. Aligia

Coherence time and gate fidelities in Rydberg atom quantum simulators and computers are fundamentally limited by the Rydberg state lifetime. Circular Rydberg states are highly promising candidates to overcome this limitation by orders of…

Strongly Rydberg-blockaded two-level atoms form a Rydberg superatom, which is excited only to a collective symmetrical Dicke state. However, emerging often in the alkali-earth atoms, the spontaneous decay from the Rydberg state to an…

Quantum Physics · Physics 2021-12-21 Chang Qiao , Wenxian Zhang

We theoretically investigate the out-of-equilibrium dynamics of irregular one- and two-dimensional arrays of Rydberg dipoles featuring spatially anisotropic interactions. Starting from a collectively polarized initial state, we map out the…

Quantum Gases · Physics 2024-08-15 Kaustav Mukherjee , Grant W. Biedermann , Robert J. Lewis-Swan

The ground state phase diagram of the one-dimensional Bose-Fermi Hubbard model is studied in the canonical ensemble using a quantum Monte Carlo method. We focus on the case where both species have half filling in order to maximize the…

Statistical Mechanics · Physics 2007-05-23 Lode Pollet , Matthias Troyer , Kris Van Houcke , Stefan M. A. Rombouts

We introduce an approximate phase-space technique to simulate the quantum dynamics of interacting bosons. With the future goal of treating Bose-Einstein condensate systems, the method is designed for systems with a natural separation into…

Quantum Physics · Physics 2009-11-13 Scott E. Hoffmann , Joel F. Corney , Peter D. Drummond

Controlling strongly interacting many-body systems enables the creation of tailored quantum matter, with properties transcending those based solely on single particle physics. Atomic ensembles which are optically driven to a Rydberg state…

Recent developments in the study of ultracold Rydberg gases demand an advanced level of experimental sophistication, in which high atomic and optical densities must be combined with excellent control of external fields and sensitive Rydberg…

F\"orster resonances provide a highly flexible tool to tune both the strength and the angular shape of interactions between two Rydberg atoms. We give a detailed explanation about how F\"orster resonances can be found by searching through a…

We study the dynamics of up to two Rydberg excitations and the correlation growth in a chain of atoms coupled to a photonic crystal waveguide. In this setup, an excitation can hop from one atom to another via exponentially decaying exchange…

Quantum Gases · Physics 2020-09-02 Yashwant Chougale , Jugal Talukdar , Tomás Ramos , Rejish Nath

We propose an experimentally feasible scheme to achieve directional transport of Rydberg excitations and entangled states in atomic arrays with unequal spacings. By leveraging distance-dependent Rydberg-Rydberg interactions and temporally…

Quantum Physics · Physics 2025-02-18 Yupeng Wang , Junjie Wang , Aishik Panja , Xinghan Wang , Qi-Yu Liang

We simulate the dynamics of Rydberg atoms resonantly exchanging energy via two-, three-, and four-body dipole-dipole interactions in a one-dimensional array. Using simplified models of a realistic experimental system, we study the initial…

Quantum Physics · Physics 2025-04-07 Sarah E. Spielman , Alicia Handian , Nina P. Inman , Thomas J. Carroll , Michael W. Noel

We study an experimentally realizable paradigm of complex many-body quantum systems, a two-band Wannier-Stark model, for which diffusion in Hilbert space as well as many-body Landau-Zener processes can be engineered. A cross-over between…

Quantum Gases · Physics 2013-10-23 Carlos A. Parra-Murillo , Javier Madroñero , Sandro Wimberger

We study the equilibrium and nonequilibrium formation of four-particle complexes in a balanced two-species Bose-Hubbard model with repulsive intra- and attractive inter-species interactions. Using exact diagonalization, we characterize the…

Quantum Gases · Physics 2026-02-05 Deepak Gaur , Koushik Mukherjee , Stephanie M. Reimann

Many-body systems constructed of quantum-optical building blocks can now be realized in experimental platforms ranging from exciton-polariton fluids to ultracold gases of Rydberg atoms, establishing a fascinating interface between…

We investigate theoretically the Bose-Hubbard version of the celebrated Su-Schrieffer-Heeger topological model, which essentially describes a one-dimensional dimerized array of coupled oscillators with on-site interactions. We study the…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 P. Martínez Azcona , C. A. Downing

We study the one-dimensional two-orbital Hubbard model with general local interactions including a pair-hopping term. The model might be realized in one-dimensional transition-metal nanowires. Phase diagrams at T=0 are obtained by numerical…

Strongly Correlated Electrons · Physics 2014-12-15 Jun-ichi Okamoto , A. J. Millis

We consider a zero-temperature one-dimensional system of bosons interacting via the soft-shoulder potential in the continuum, typical of dressed Rydberg gases. We employ quantum Monte Carlo simulations, which allow for the exact calculation…

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