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The ground-state correlation properties of a one-dimensional Bose system described by the Lieb-Liniger Hamiltonian are investigated by using exact quantum Monte Carlo techniques. The pair distribution function, static structure factor,…

Condensed Matter · Physics 2009-11-07 G. E. Astrakharchik , S. Giorgini

The Gaudin integral equation for the ground state of a one-dimensional delta-function attractive spin-1/2 fermions is solved in the form of power series. The first few terms of the asymptotic expansions for both strong and weak coupling…

Statistical Mechanics · Physics 2009-11-11 Toshiaki Iida , Miki Wadati

We show that thermalization and the breakdown of integrability in the one dimensional Lieb-Liniger model caused by local three-body elastic interactions is suppressed by pairwise quantum correlations when approaching the strongly correlated…

Quantum Physics · Physics 2009-07-14 I. E. Mazets , J. Schmiedmayer

A theoretical model of a Bose-Einstein condensate with angular spin-orbit coupling has recently been proposed and it has been established that a half-skyrmion represents the ground state in a certain regime of spin-orbit coupling and…

Quantum Gases · Physics 2016-09-23 Ivana Vasic , Antun Balaz

We introduce a one-dimensional plaquette orbital model with a topology of a ladder and alternating interactions between $x$ and $z$ pseudospin components along both the ladder legs and on the rungs. We show that it is equivalent to an…

Strongly Correlated Electrons · Physics 2014-08-04 Wojciech Brzezicki , Andrzej M. Oleś

We investigate the excitation properties of finite utracold bosonic systems in a one-dimensional harmonic trap with a time-dependent interaction strength. The driving of the interatomic coupling induces excitations of the relative motion…

Quantum Gases · Physics 2015-06-03 Ioannis Brouzos , Peter Schmelcher

Vacuum structure, one-particle excitations' spectra and bound states of these excitations are studied in frame of non-relativistic quantum field model with current $\times$ current type interaction. Hidden symmetry of the model is found. It…

Quantum Physics · Physics 2007-05-23 A. N. Vall , S. E. Korenblit , V. M. Leviant , A. V. Sinitskaya

Diagrammatic summation is a common bottleneck in modern applications of projected entangled-pair states, especially in computing low-energy excitations of a two-dimensional quantum many-body system. To solve this problem, here we extend the…

Strongly Correlated Electrons · Physics 2024-03-05 Wei-Lin Tu , Laurens Vanderstraeten , Norbert Schuch , Hyun-Yong Lee , Naoki Kawashima , Ji-Yao Chen

In the earlier unitary-model-operator approach (UMOA), one-body correlations have been taken into account approximately by the diagonalization of unitary-transformed Hamiltonians in the $0p0h$ and $1p1h$ space. With this prescription, the…

Nuclear Theory · Physics 2017-11-22 Takayuki Miyagi , Takashi Abe , Ryoji Okamoto , Takaharu Otsuka

We present lattice Monte Carlo evidence of stable excitations of isolated static charges in the Higgs phase of the charge $q=2$ abelian Higgs model. These localized excitations are excited states of the interacting fields surrounding the…

High Energy Physics - Lattice · Physics 2021-04-28 Kazue Matsuyama

We have used the hyperspherical adiabatic representation to describe the system of three identical bosons in an spin stretched state interacting by an attractive 1/r potential. A proposal has been made how such a system might be realized…

Atomic Physics · Physics 2007-05-23 J. P. D'Incao , S. C. Cheng , H. Suno , B. D. Esry

We study the two-body problem for two-dimensional electron systems in a symmetrized Bernevig-Hughes-Zhang model which is widely used to describe topological and conventional insulators. The main result is that two interacting electrons can…

Mesoscale and Nanoscale Physics · Physics 2023-05-02 Vladimir A. Sablikov

The evolution of correlations in the \emph{exactly} solvable Luttinger model (a model of interacting fermions in one dimension) after a sudden interaction switch-on is \emph{analytically} studied. When the model is defined on a finite-size…

Statistical Mechanics · Physics 2007-05-23 M. A. Cazalilla

While the concept of the entanglement spectrum has heretofore been utilized to address various many-body systems, the models describing an itinerant spinless-fermion excitation coupled to zero-dimensional bosons (e.g. dispersionless…

Quantum Physics · Physics 2023-12-04 Vladimir M. Stojanovic

Ionization, excitation, and de-excitation to the ground state is studied theoretically for the first excited singlet state B $^1\Sigma_u^+$ of H$_2$ exposed to intense laser fields with photon energies in between about 3 eV and 13 eV. A…

Atomic Physics · Physics 2015-05-18 Manohar Awasthi , Alejandro Saenz

We review recent results on many-body localization for two explicitly analyzable models of many-body quantum systems, the XY spin chain in transversal magnetic field as well as interacting systems of harmonic quantum oscillators. In both…

Mathematical Physics · Physics 2018-01-03 Robert Sims , Gunter Stolz

The one-dimensional Fr\"ohlich model describing the motion of a single electron interacting with optical phonons is a paradigmatic model of quantum many-body physics. We predict the existence of an arbitrarily large number of bound excited…

Mathematical Physics · Physics 2025-12-18 Jamie Taylor , Matija Čufar , David Mitrouskas , Robert Seiringer , Elke Pahl , Joachim Brand

We explore the rich nature of correlations in the ground state of ultracold atoms trapped in state-dependent optical lattices. In particular, we consider interacting fermionic ytterbium or strontium atoms, realizing a two-orbital Hubbard…

We develop a method of constructing excited states in one dimensional spin chains which are derived from the $SU(2)_1$ Wess-Zumino-Witten Conformal Field Theory (CFT) using a parent Hamiltonian approach. The resulting systems are equivalent…

Strongly Correlated Electrons · Physics 2015-06-15 Benedikt Herwerth , Germán Sierra , Hong-Hao Tu , Anne E. B. Nielsen

We study a one-dimensional Bose system with repulsive delta-function interaction in the presence of an SU(2) intrinsic degree of freedom on the basis of the coordinate Bethe-ansatz. The ground state and the low-lying excitations are…

Statistical Mechanics · Physics 2009-11-07 Y. Q. Li , S. J. Gu , Z. J. Ying , U. Eckern
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