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We compute the strengths of zero-th order (in eccentricity) three-body resonances for a co-planar and low eccentricity multiple planet system. In a numerical integration we illustrate that slowly moving Laplace angles are matched by…

Earth and Planetary Astrophysics · Physics 2015-05-28 Alice C. Quillen

In this work, we extend the analysis of interacting bosons at 2D-1D dimensional crossover for finite size and temperature by using field-theory approach (bosonization) and quantum Monte Carlo simulations. Stemming from the fact that finite…

Quantum Gases · Physics 2024-07-10 Lorenzo Pizzino , Hepeng Yao , Thierry Giamarchi

We explore the free boson unitary dynamics subject to repeated random forced measurement. The input state is chosen as a Fock state in real space with the particle number conserved in the entire dynamics. We show that each boson is…

Quantum Physics · Physics 2021-10-26 Xiao Chen

Similarity experiments were performed on the DIII-D and TCV tokamaks to explore the scaling of energy confinement in negative triangularity plasmas using non-dimensional variables. Near up-down symmetric plasmas with large top-bottom…

We develop a theory of non-relativistic bosons in two spatial dimensions with a weak short range attractive interaction. In the limit as the range of the interaction becomes small, there is an ultra-violet divergence in the problem. We…

High Energy Physics - Theory · Physics 2007-05-23 S. G. Rajeev

We analyze the macroscopic dynamics of a Bose gas axially confined in an optical lattice with a superimposed harmonic trap, taking into account weak tunneling effect. Our results show that upon transition to the quasi-two-dimensional (2D)…

Quantum Gases · Physics 2015-05-27 Ying Hu , Zhaoxin Liang

Arbitrary spin free massless bosonic fields propagating in even $d$ - dimensional anti-de Sitter spacetime are investigated. Free wave equations of motion, subsidiary conditions and the corresponding gauge transformations for such fields…

High Energy Physics - Theory · Physics 2012-06-19 R. R. Metsaev

We investigate the level population statistics and degree of coherence encoded in the single-particle density matrix of harmonically trapped low-dimensional [quasi-one-dimensional (quasi-1D) or quasi-two-dimensional (quasi-2D)] Bose gases…

Quantum Gases · Physics 2010-07-22 Uwe R. Fischer , Philipp Bader

Using the adaptive time-dependent density matrix renormalization group method, we numerically investigate the expansion dynamics of bosons in a one-dimensional hard-core boson model with three-body interactions. It is found that the bosons…

Quantum Physics · Physics 2015-10-08 Jie Ren , Yin-Zhong Wu , Xue-Fen Xu

The degenerate Fermi gas coupled to a random potential is used to study metal-insulator transitions in various dimensions. We first recast the problem in the sea-boson language that allows for an easy evaluation of important physical…

Strongly Correlated Electrons · Physics 2007-05-23 Girish S. Setlur

We derive a bound on the total number of negative energy bound states in a potential in two spatial dimensions by using an adaptation of the Schwinger method to derive the Birman-Schwinger bound in three dimensions. Specifically, counting…

Mathematical Physics · Physics 2015-06-26 Andre Martin , Tai Tsun Wu

We report the first demonstration of cooling by three-body losses in a Bose gas. We use a harmonically confined one-dimensional (1D) Bose gas in the quasi-condensate regime and, as the atom number decreases under the effect of three-body…

Quantum Gases · Physics 2018-11-21 Max Schemmer , Isabelle Bouchoule

Quantum simulators built from ultracold atoms promise to study quantum phenomena in interacting many-body systems. However, it remains a challenge to experimentally prepare strongly correlated continuous systems such that the properties are…

For a $(3+1)$-dimensional generalization of the Schwinger model, we compute the interaction energy between two test charges. The result shows that the static potential profile contains a linear term leading to the confinement of probe…

High Energy Physics - Theory · Physics 2017-05-24 Antonio Aurilia , Patricio Gaete , José A. Helayël-Neto , Euro Spallucci

We investigate the effects of dimensional reduction in Bose gases induced by a strong harmonic confinement in the transverse cylindric radial direction. By using a generalized Lieb-Liniger theory, based on a variational treatment of the…

Statistical Mechanics · Physics 2009-11-10 L. Salasnich , A. Parola , L. Reatto

We unravel the nonequilibrium quantum dynamics of two harmonically confined bosons in one spatial dimension when performing an interaction quench from finite repulsive to attractive interaction strengths and vice versa. A closed analytical…

Quantum Physics · Physics 2019-05-03 L. Budewig , S. I. Mistakidis , P. Schmelcher

Systems that involve N identical interacting particles under quantum confinement appear throughout many areas of physics, including chemical, condensed matter, and atomic physics. In this paper, we present the methods of dimensional…

Condensed Matter · Physics 2009-11-10 B. A. McKinney , M. Dunn , D. K. Watson , J. G. Loeser

The Faddeev equation for three-body scattering at arbitrary energies is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. In its simplest form the Faddeev equation…

Nuclear Theory · Physics 2009-11-10 H. Liu , Ch. Elster , W. Gloeckle

We investigate the survival of symmetries in a relativistic system of two mutually interacting bosons coupled with an external field, when this field is "strongly" translation invariant in some directions and additionally remains unchanged…

High Energy Physics - Theory · Physics 2009-07-24 Philippe Droz-Vincent

We discuss the canonical form for a pure state of three identical bosons in two modes, and classify its entanglement correlation into two types, the analogous GHZ and the W types as well known in a system of three distinguishable qubits. We…

Quantum Physics · Physics 2009-11-11 B. Zeng , D. L. Zhou , Z. Xu , L. You
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