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Effective field theories (EFTs) are widely used to study many-body systems by describing two-body interactions using zero-ranged contact potentials. However, when extended to three-body processes, these contact interactions lead to…

Quantum Gases · Physics 2026-03-02 Corinne Beckers , Jacques Tempere , Jeff Maki , Denise Ahmed-Braun

A measurement technique is described which has the potential to map the atomic site occupancies of ultracold atoms in a short-period three-dimensional optical lattice. The method uses accordion and pinning lattices, together with…

Quantum Gases · Physics 2013-05-29 Martin Shotter

We consider the quantum evolution of a pair of interacting atoms in a three dimensional isotropic trap where the interaction strength is quenched from one value to another. Using exact solutions of the static problem we are able to evaluate…

Quantum Gases · Physics 2021-01-19 A. D. Kerin , A. M. Martin

The theoretical study of ultracold few-body systems is often done using an idealized 1D model with zero range interactions. Here we study these systems using a more realistic 3D model with finite range interactions. We place…

Quantum Gases · Physics 2019-10-17 M. Wallenius , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Trapped neutral atoms offer a powerful route to robust simulation of complex quantum systems. We present here a stroboscopic scheme for realization of a Hamiltonian with $n$-body interactions on a set of neutral atoms trapped in an…

Quantum Physics · Physics 2010-06-10 C. M. Herdman , Kevin C. Young , V. Scarola , Mohan Sarovar , K. B. Whaley

We show how to attach an external photon to a system of three strongly interacting nucleons described by three-body scattering equations. Our method involves the idea of gauging the scattering equations themselves, and results in…

Nuclear Theory · Physics 2007-05-23 A. N. Kvinikhidze , B. Blankleider

Activating transitions between a set of atomic internal states has emerged as an elegant scheme by which lattice models can be designed in ultracold atomic gases. In this approach, the internal states can be viewed as fictitious lattice…

Quantum Gases · Physics 2021-01-04 L. Barbiero , L. Chomaz , S. Nascimbene , N. Goldman

A paradigm model of modern atom optics is studied, strongly interacting ultracold bosons in an optical lattice. This many-body system can be artificially opened in a controlled manner by modern experimental techniques. We present results…

Pattern Formation and Solitons · Physics 2013-10-23 S. Wimberger , C. A. Parra-Murillo , G. Kordas

We study two many-body systems of bosons interacting via an infinite three-body contact repulsion in a lattice: a pairs quasi-condensate induced by correlated hopping and the discrete version of the Pfaffian wavefunction. We propose to…

Quantum Gases · Physics 2010-11-01 Leonardo Mazza , Matteo Rizzi , Maciej Lewenstein , J. Ignacio Cirac

The Hubbard model underlies our understanding of strongly correlated materials. While its standard form only comprises interaction between particles at the same lattice site, its extension to encompass long-range interaction, which…

Quantum Gases · Physics 2016-04-22 S. Baier , M. J. Mark , D. Petter , K. Aikawa , L. Chomaz , Zi Cai , M. Baranov , P. Zoller , F. Ferlaino

We study three-body collisions within ultracold mixtures with resonant interspecies $p$-wave interactions. Our results for the three-body effective interaction strength and decay rate are crucial towards understanding the stability and…

Quantum Gases · Physics 2021-06-02 P. M. A. Mestrom , V. E. Colussi , T. Secker , J. -L. Li , S. J. J. M. F. Kokkelmans

Dynamical decoupling techniques constitute an integral part of many quantum sensing platforms, often leading to orders-of-magnitude improvements in coherence time and sensitivity. Most AC sensing sequences involve a periodic echo-like…

We propose an experimental scheme to simulate the many-body dynamical quantum Hall effect with ultra-cold bosonic atoms in a one-dimensional optical lattice. We first show that the required model Hamiltonian of a spin-1/2 Heisenberg chain…

Quantum Gases · Physics 2016-04-19 Dan-Wei Zhang , Xu-Chen Yang

We analyze the hard-core Bose-Hubbard model with both the three-body and nearest neighbor repulsions on the triangular lattice. The phase diagram is achieved by means of the semi-classical approximation and the quantum Monte Carlo…

Quantum Gases · Physics 2011-05-23 Xue-Feng Zhang , Yu-Chuan Wen , Yue Yu

Recent experiments have demonstrated single-site resolved observation of cold atoms in optical lattices. Thus, in the future it may be possible to take repeated snapshots of an interacting quantum many-body system during the course of its…

Quantum Gases · Physics 2012-01-13 Stefan Kessler , Andreas Holzner , Ian P. McCulloch , Jan von Delft , Florian Marquardt

We calculate the renormalized effective 2-, 3-, and 4-body interactions for N neutral ultracold bosons in the ground state of an isotropic harmonic trap, assuming 2-body interactions modeled with the combination of a zero-range and…

Quantum Physics · Physics 2012-06-26 P. R. Johnson , D. Blume , X. Y. Yin , W. F. Flynn , E. Tiesinga

We present two approaches capable of describing the dynamics of an interacting many body system on a lattice coupled globally to a dissipative bosonic mode. Physical realizations are for example ultracold atom gases in optical lattice…

Quantum Gases · Physics 2020-11-20 Catalin-Mihai Halati , Ameneh Sheikhan , Corinna Kollath

Strongly-interacting ultra-cold atoms in tight-binding optical lattice potentials provide an ideal platform to realize the fundamental Hubbard model. Here, after outlining the elementary single particle solution, we review and expand our…

Quantum Gases · Physics 2017-08-23 David Petrosyan , Manuel Valiente

Recent developments in quantum gas microscopy open up the possibility of real-time observation of quantum many-body systems. To understand the dynamics of atoms under such circumstances, we formulate the dynamics under a real-time spatially…

Quantum Physics · Physics 2017-03-01 Yuto Ashida , Masahito Ueda

Interactions between particles in quantum many-body systems play a crucial role in determining the electric, magnetic, optical, and thermal properties of the system. The recent progress in the laser-pulse technique has enabled the…

Strongly Correlated Electrons · Physics 2021-09-07 Nguyen Thanh Phuc , Pham Quang Trung