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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

Modeling many-body quantum systems with strong interactions is one of the core challenges of modern physics. A range of methods has been developed to approach this task, each with its own idiosyncrasies, approximations, and realm of…

Statistical Mechanics · Physics 2018-11-21 Brett Larder , Dirk Gericke , Scott Richardson , Paul Mabey , Thomas White , Gianluca Gregori

We present an extension of our recent paper [Bienias et al., Phys. Rev. A 90, 053804 (2014)] in which we demonstrated the scattering properties and bound-state structure of two Rydberg polaritons, as well as the derivation of the effective…

Atomic Physics · Physics 2017-01-04 Przemyslaw Bienias

Due to the vast growth of the many-body level density with excitation energy, its smoothed form is of central relevance for spectral and thermodynamic properties of interacting quantum systems. We compute the cumulative of this level…

Quantum Gases · Physics 2019-06-26 Quirin Hummel , Juan Diego Urbina , Klaus Richter

We present a comprehensive analysis of four-body scattering in one-dimensional (1D) quantum systems using the adiabatic hyperspherical representation (AHR). Focusing on dimer-dimer collisions between two species of fermions interacting via…

Quantum Gases · Physics 2025-10-03 Jia Wang , Hui Hu , Xia-Ji Liu

We report the first experimental observation of dissipation-driven coherent quantum many-body oscillation, and this oscillation is manifested as the coherent exchange of atoms between the thermal and the condensate components in a…

Paradigmatic spin Hamiltonians in condensed matter and quantum sensing typically utilize pair-wise or 2-body interactions between constituents in the material or ensemble. However, there is growing interest in exploring more general…

We consider a mixture of a single-component Bose gas and a two-component Fermi gas at temperatures where the Bose gas is almost fully condensed. In such a mixture, two fermionic atoms can interact with each other by exchanging a phonon that…

Statistical Mechanics · Physics 2014-10-13 M. J. Bijlsma , B. A. Heringa , H. T. C. Stoof

Quantum interactions exchanging different types of particles play a pivotal r\^{o}le in quantum many-body theory, but they are not sufficiently investigated from a mathematical perspective. Here, we consider a system made of two fermions…

Mathematical Physics · Physics 2025-06-12 J. -B. Bru , W. de Siqueira Pedra , A. Ramer dos Santos

The two-fermion two-point correlation function in the pairing channel is discussed in the equation of motion framework. Starting from the bare two-fermion interaction, we derive the equation of motion for the two-fermion pair propagator in…

Nuclear Theory · Physics 2020-11-17 Elena Litvinova , Peter Schuck

We study a model of one-dimensional fermionic atoms that can bind in pairs to form bosonic molecules. We show that at low energy, a coherence develops between the molecule and fermion Luttinger liquids. At the same time, a gap opens in the…

Other Condensed Matter · Physics 2007-05-23 R. Citro , E. Orignac

Few-body physics related to the Efimov effect is discussed using the functional renormalization group method. After a short review of renormalization in its modern formulation we apply this formalism to the description of scattering and…

Quantum Gases · Physics 2012-08-20 Stefan Floerchinger , Sergej Moroz , Richard Schmidt

We present a simple picture that provides the energy and scattering length dependence for all inelastic three-body collision rates in the ultracold regime for three-body systems with short range two-body interactions. In particular, we…

Other Condensed Matter · Physics 2007-05-23 J. P. D'Incao , B. D. Esry

A many-body system of fermion atoms with a model interaction characterized by the scattering length $a$ is considered. We treat both $a$ and the density as parameters assuming that the system can be created artificially in a trap. If $a$ is…

Statistical Mechanics · Physics 2009-11-07 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

We employ monomer-resolved computer simulations of model dendrimer molecules, to examine the significance of many-body effects in concentrated solutions of the same. In particular, we measure the radial distribution functions and the…

Soft Condensed Matter · Physics 2007-05-23 I. O. Götze , C. N. Likos

Properties of bosonic atoms in small systems with a periodic quasi one-dimensional circular toroidal lattice potential subjected to rotation are examined by performing exact diagonalization in a truncated many body space. The expansion of…

Quantum Gases · Physics 2015-06-12 Fernanda Pinheiro , A. F. R. de Toledo Piza

Within quantum information frameworks, managing decoherence stands as a pivotal task. The present work delves into decoherence dynamics of a dressed qubit, represented by a spinless fermion hopping between two lattice sites that are…

Quantum Physics · Physics 2025-01-03 Saima Bashir , Muzaffar Qadir Lone , Prince A Ganai

We present a model of a coupled bosonic atom-molecule system, using the recently developed c-field methods as the basis in our formalism. We derive expressions for the s-wave scattering length and binding energy within this formalism, and…

Atomic and Molecular Clusters · Physics 2011-09-15 Catarina E Sahlberg , C W Gardiner

In the strong-coupling BEC region where a Feshbach resonance gives rise to tightly-bound dimer molecules, we show that a spin-polarized Fermi superfluid reduces to a simple Bose-Fermi mixture of Bose-condensed dimers and the leftover…

Other Condensed Matter · Physics 2008-12-12 E. Taylor , A. Griffin , Y. Ohashi

We present an exact theory of the BEC-BCS crossover in the BEC regime, which treats explicitely dimers as made of two fermions. We apply our framework, at zero temperature, to the calculation of the equation of state. We find that, when…

Statistical Mechanics · Physics 2009-11-13 X. Leyronas , R. Combescot
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