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Using quantum Monte Carlo simulations, we show that density-density and pairing correlation functions of the one-dimensional attractive fermionic Hubbard model in a harmonic confinement potential are characterized by the anomalous dimension…

Strongly Correlated Electrons · Physics 2007-05-23 F. Karim Pour , M. Rigol , S. Wessel , A. Muramatsu

We theoretically investigate the thermodynamics of an interacting inhomogeneous two-component Fermi gas in an optical lattice. Motivated by a recent experiment by L. Hackerm\"uller et al., Science, 327, 1621 (2010), we study the effect of…

We present a massively parallel quantum Monte Carlo based implementation of real-space dynamical mean-field theory for general inhomogeneous correlated fermionic lattice systems. As a first application, we study magnetic order in a binary…

Quantum Gases · Physics 2010-12-16 N. Blümer , E. V. Gorelik

Quantum criticality of strongly attractive Fermi gas with $SU(3)$ symmetry in one dimension is studied via the thermodynamic Bethe ansatz (TBA) equations.The phase transitions driven by the chemical potential $\mu$, effective magnetic field…

Quantum Gases · Physics 2015-06-22 Peng He , Yuzhu Jiang , Xiwen Guan , Jinyu He

The one-dimensional (1D) Hubbard model, describing electrons on a lattice with an on-site repulsive interaction, provides a paradigm for the physics of quantum many-body phenomena. Here by solving the thermodynamic Bethe ansatz equations we…

Strongly Correlated Electrons · Physics 2018-04-04 Song Cheng , Yi-Song Yu , Murray T Batchelor , Xi-Wen Guan

We study the thermodynamic properties of four-component fermionic mixtures described by the Hubbard model using the dynamical mean-field-theory approach. Special attention is given to the system with SU(4)-symmetric interactions at half…

Quantum Gases · Physics 2017-03-09 A. Golubeva , A. Sotnikov , A. Cichy , J. Kuneš , W. Hofstetter

We show how strongly interacting two-dimensional Dirac fermions can be realized with ultracold atoms in a two-dimensional optical square lattice with an experimentally realistic, inherent gauge field, which breaks time-reversal and…

Quantum Gases · Physics 2015-05-13 Lih-King Lim , Achilleas Lazarides , Andreas Hemmerich , C. Morais Smith

We use quantum Monte Carlo simulations to obtain zero-temperature state diagrams for strongly correlated lattice bosons in one and two dimensions under the influence of a harmonic confining potential. Since harmonic traps generate a…

Other Condensed Matter · Physics 2017-09-11 Marcos Rigol , George G. Batrouni , Valery G. Rousseau , Richard T. Scalettar

We study harmonically trapped, unpolarized fermion systems with attractive interactions in two spatial dimensions with spin degeneracies Nf = 2 and 4 and N/Nf = 1, 3, 5, and 7 particles per flavor. We carry out our calculations using our…

Quantum Gases · Physics 2016-03-09 Z. -H. Luo , C. E. Berger , J. E. Drut

The advent of ultracold alkaline-earth atoms in optical lattices has established a platform for investigating correlated quantum matter with SU($N$) symmetry, offering highly tunable model parameters that allow experiments to access…

We study quantum quench dynamics in the Fermi-Hubbard model, and its SU($N$) generalizations, in one-dimensional lattices in the limit of infinite onsite repulsion between all flavors. We consider families of initial states with generalized…

Quantum Gases · Physics 2019-10-01 Yicheng Zhang , Lev Vidmar , Marcos Rigol

The classical Heisenberg model in two spatial dimensions constitutes one of the most paradigmatic spin models, taking an important role in statistical and condensed matter physics to understand magnetism. Still, despite its paradigmatic…

Statistical Mechanics · Physics 2021-12-01 Philipp Schmoll , Augustine Kshetrimayum , Jens Eisert , Roman Orus , Matteo Rizzi

We introduce a general class of su$(1|1)$ supersymmetric spin chains with long-range interactions which includes as particular cases the su$(1|1)$ Inozemtsev (elliptic) and Haldane-Shastry chains, as well as the XX model. We show that this…

On the basis of Bethe ansatz solution of two-component bosons with SU(2) symmetry and $\delta$-function interaction in one dimension, we study the thermodynamics of the system at finite temperature by using the strategy of thermodynamic…

Strongly Correlated Electrons · Physics 2017-08-23 Shi-Jian Gu , You-Quan Li , Zu-Jian Ying , Xu-An Zhao

It was shown [Chin. Phys. Lett. 28, 020503 (2011)] that at zero temperature the ground state of the one-dimensional (1D) $w$-component Fermi gas coincides with that of the spinless Bose gas in the limit $\omega\to \infty$. This behaviour…

Quantum Gases · Physics 2016-03-29 Yuzhu Jiang , Peng He , Xi-Wen Guan

We demonstrate that the energy density of an accelerated fermion gas evaluated within quantum statistical approach in Minkowski space is related to a quantum correction to the vacuum expectation value of the energy-momentum tensor in a…

High Energy Physics - Theory · Physics 2019-12-18 George Y. Prokhorov , Oleg V. Teryaev , Valentin I. Zakharov

We present Monte Carlo results for the thermodynamics of pure SU(N) gauge theories with $N=2,...,6$ in 2+1 dimensions. We focus on the confined phase region $T<T_c$ and study thermodynamics variables such as the trace of the energy-momentum…

High Energy Physics - Lattice · Physics 2011-07-08 Michele Caselle , Luca Castagnini , Alessandra Feo , Ferdinando Gliozzi , Marco Panero

An effective Proca Lagrangian action is used to address the vector condensation Lorentz violation effects on the equation of state of the strongly interacting fermions system. The interior quantum fluctuation effects are incorporated as an…

Nuclear Theory · Physics 2009-08-26 Ji-sheng Chen

We review recent and present new results on thermalization of nonabelian gauge theory obtained by exact numerical simulation of the real-time dynamics of $(2+1)$-dimensional SU(2) lattice gauge theory. We discuss: (1) tests confirming the…

High Energy Physics - Lattice · Physics 2025-10-01 Lukas Ebner , Berndt Müller , Andreas Schäfer , Leonhard Schmotzer , Clemens Seidl , Xiaojun Yao

The energy density and the pressure of SU(3) gauge theory at finite temperature are studied by direct lattice measurements of the renormalized energy-momentum tensor obtained by the gradient flow. Numerical analyses are carried out with…

High Energy Physics - Lattice · Physics 2017-02-15 Masakiyo Kitazawa , Takumi Iritani , Masayuki Asakawa , Tetsuo Hatsuda , Hiroshi Suzuki