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We investigate the ground state properties of a one-dimensional two-component ultra-cold Fermi gas in an infinite potential well. Exact Bethe ansatz solution is used to calculate the many-body wave function of the system. Then we evaluate…

Statistical Mechanics · Physics 2008-07-15 Bo-Bo Wei , Jun-Peng Cao , Shi-Jian Gu , Hai-Qing Lin

The collective emission from a one-dimensional chain of interacting two-level atoms coupled to a common electromagnetic reservoir is investigated. We derive the system's dissipative few-excitation eigenstates, and analyze their static…

Quantum Physics · Physics 2015-01-08 P. Longo , J. Evers

We compare many-body theories describing fluctuation corrections to the mean-field theory in a weakly interacting Bose-condensed gas. Using a generalized random-phase approximation, we include both density fluctuations and fluctuations in…

Quantum Gases · Physics 2013-11-28 Shohei Watabe , Yoji Ohashi

We apply ideas of the parquet-diagram and optimized Fermi-hypernetted chain methods to determine the short-range structure of the pair wave function in neutron matter and compare these with Bethe-Goldstone results and those of low-order…

Nuclear Theory · Physics 2020-09-16 E. ~Krotscheck , J. Wang

Thermodynamic flunctuations in BaFe2As2 is addressed with a first-principles formulation of the Helmholtz energy by accounting for the mixture of various electronic states each distinguished by different spin orientation distributions. We…

Superconductivity · Physics 2014-02-25 Y. Wang , S. L. Shang , L. Q. Chen , Z. K. Liu

Many biological systems are appropriately viewed as passive inclusions immersed in an active bath: from proteins on active membranes to microscopic swimmers confined by boundaries. The non-equilibrium forces exerted by the active bath on…

Soft Condensed Matter · Physics 2020-07-06 Alpha A. Lee , Dominic Vella , John S. Wettlaufer

We investigate the low-lying spectra of many-body systems with random two-body interactions, specifying that the ensemble be invariant under particle-hole conjugation.Surprisingly we find patterns reminiscent of more orderly interactions,…

Nuclear Theory · Physics 2009-10-31 C. W. Johnson , G. F. Bertsch , D. J. Dean

The self consistent version of the density functional theory (DFT) is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems such as atoms, molecules and clusters. The exact functional…

Condensed Matter · Physics 2007-05-23 M. Ya. Amusia , V. R. Shaginyan

Spin fluctuations and density fluctuations are studied for a two-component gas of strongly interacting fermions along the BEC-BCS crossover. This is done by in-situ imaging of dispersive speckle patterns. Compressibility and magnetic…

In this work, we develop a self-consistent Hartree-Fock approach to theoretically study the far-from-equilibrium quantum dynamics of interacting fermions, and apply this approach to explore the onset of many-body localization (MBL) in these…

Disordered Systems and Neural Networks · Physics 2018-12-31 Simon A. Weidinger , Sarang Gopalakrishnan , Michael Knap

We consider the asymptotic behaviour of a family of unidimensional lattice fermion models, which are in exact correspondence with certain probability laws on partitions and on unitary matrices. These models exhibit limit shapes, and in the…

Mathematical Physics · Physics 2024-02-09 Harriet Walsh

The relationship between natural orbitals, one-body coherences and two-body correlations is explored for bosonic many-body systems of definite parity with two occupied single-particle states. We show that the strength of local two-body…

Quantum Gases · Physics 2015-08-26 Sven Krönke , Peter Schmelcher

We consider highly heterogeneous random networks with symmetric interactions in the limit of high connectivity. A key feature of this system is that the spectral density of the corresponding ensemble exhibits a divergence within the bulk.…

Disordered Systems and Neural Networks · Physics 2023-11-29 Diego Tapias , Peter Sollich

Entanglement properties of the trial many-body wave functions in variational treatments of the transverse Ising model in two, three, and four dimensions are investigated. Based on data for magnetizations and correlation functions generated…

Statistical Mechanics · Physics 2007-05-23 J. W. Clark , A. Mandilara , M. L. Ristig

We present an overview of our studies on the nonequilibrium dynamics of quantum systems that have many interacting particles. Our emphasis is on systems that show strong level repulsion, referred to as chaotic systems. We discuss how full…

Statistical Mechanics · Physics 2019-05-01 Lea F. Santos , E. J. Torres-Herrera

The relativistic quantum mechanics of two interacting particles is considered. We first present a covariant formulation of kinematics and of reduced phase space, giving a short outline of the classical results. We then quantize the systems…

Quantum Physics · Physics 2019-02-20 Riccardo Giachetti , Emanuele Sorace

A class of models with applications to swarm behavior as well as many other types of spatially extended complex biological and physical systems is studied. Internal fluctuations can play an active role in the organization of the phase…

adap-org · Physics 2008-02-03 Mark M. Millonas

We investigate charge fluctuations in the two-dimensional Hubbard model as a function of doping, interaction strength, next-nearest-neighbor hopping, and temperature within the eight-site dynamical cluster approximation. In the regime of…

Strongly Correlated Electrons · Physics 2020-07-13 Xinyang Dong , Emanuel Gull

We theoretically investigate the effects of pairing fluctuations in an ultracold Fermi gas near a Feshbach resonance with a negative effective range. By employing a many-body T-matrix theory with a coupled boson-fermion model, we show that…

Quantum Gases · Physics 2018-04-25 Hiroyuki Tajima

Pairing fluctuations are self-consistently incorporated on the same footing as the quadrupole deformations in present state of the art calculations including particle number and angular momentum conservation as well as configuration mixing.…

Nuclear Theory · Physics 2015-06-18 Nuria López Vaquero , J. Luis Egido , Tomás R. Rodríguez