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For a one-dimensional model in which the two-body interactions are long-range and strong, the system almost crystallizes. The harmonic modes of such a lattice can be used to compute the ground state wave function and the dynamical…

Strongly Correlated Electrons · Physics 2008-02-03 Diptiman Sen , R. K. Bhaduri

We propose a modified BCS wavefunction as the ground state of a correlated superconductor with the correlation specified between $k$ and $-k$ electrons in the reciprocal space. Owing to this correlation, low-energy excitations are not…

Superconductivity · Physics 2023-09-07 Pengfei Li , Kun Jiang , Jiangping Hu

A pair-density-wave (PDW) is a novel superconducting state with an oscillating order parameter. A microscopic mechanism that can give rise to it has been long sought but has not yet been established by any controlled calculation. Here we…

Strongly Correlated Electrons · Physics 2022-02-07 Kevin S. Huang , Zhaoyu Han , Steven A. Kivelson , Hong Yao

Coupled-mode theory (CMT) is a powerful tool for simulating near-harmonic systems. In telecommunications, variations of the theory have been used extensively to study waveguides, both analytically and through numerical modelling. Analogous…

Instrumentation and Methods for Astrophysics · Physics 2024-12-11 Jonathan Lin

The $d$-wave pairing symmetry has long been considered a defining feature of high-temperature superconductivity in cuprates. In this work, we reveal that $s$-wave pairing states exhibit variational energies comparable to the $d$-wave state…

Strongly Correlated Electrons · Physics 2025-09-29 Wayne Zheng , Tao Cheng , Zheng-Yuan Yue , Fu-Chun Zhang , Wei-Qiang Chen , Zheng-Cheng Gu

A full-quantum approach is used to study quantum nonlinear properties of a compound Michelson-Sagnac interferometer optomechanical system. The effective Hamiltonian shows that both dissipative and dispersive couplings possess imaginary- and…

Quantum Physics · Physics 2023-10-20 Wen-Quan Yang , Wei Niu , Yong-Hong Ma , Wen-Zhao Zhang

Waveguide QED with cold atoms provides a potent platform for the study of non-equilibrium, many-body, and open-system quantum dynamics. Even with weak coupling and strong photon loss, the collective enhancement of light-atom interactions…

This article is intended to provide a pedagogical introduction to the supersymmetry method for performing ensemble-averaging in Gaussian random-matrix theory. The method is illustrated by a detailed calculation of the simplest non-trivial…

Condensed Matter · Physics 2008-02-03 Josef A. Zuk

An exchange correlation energy functional involving fractional power of the one-body reduced density matrix [Phys. Rev. B {\bf 78}, 201103 (2008)] is applied to finite systems and to the homogeneous electron gas. The performance of the…

Strongly Correlated Electrons · Physics 2015-05-13 N. N. Lathiotakis , S. Sharma , J. K. Dewhurst , F. Eich , M. A. L. Marques , E. K. U. Gross

In this paper we study a hierarchical supersymmetric model for a class of gapless, three-dimensional, weakly disordered quantum systems, displaying pointlike Fermi surface and conical intersections of the energy bands in the absence of…

Mathematical Physics · Physics 2020-12-02 Giovanni Antinucci , Luca Fresta , Marcello Porta

The role of superfluidity in the incompressibility and in the symmetry energy is studied in nuclear matter and finite nuclei. Several pairing interactions are used: surface, mixed and isovector dependent. Pairing has a small effect on the…

Nuclear Theory · Physics 2014-11-21 E. Khan , J. Margueron , G. Colo , K. Hagino , H. Sagawa

We use density functional theory to describe the phase behaviors of rigid molecules. The construction of kernel function G(x, P, x, P) is discussed. Excluded-volume potential is calculated for two types of molecules with C_{2v} symmetry.…

Mathematical Physics · Physics 2017-11-23 Jie Xu , Pingwen Zhang

Accurately describing strong electron correlation in complex systems remains a prominent challenge in computational chemistry as near-term quantum algorithms treating total correlation often require prohibitively deep circuits. Here we…

Computational Engineering, Finance, and Science · Computer Science 2026-04-21 Zhanou Liu , Yuhao Chen , Yingjin Ma , Xiao He , Yuxin Deng

To investigate $pn$ pair correlations in $N=Z=\textrm{odd}$ nuclei, we develop a new framework based on the generator coordinate method of the $\beta\gamma$ constraint antisymmetrized molecular dynamics. In the framework, the isospin…

Nuclear Theory · Physics 2017-02-10 Hiroyuki Morita , Yoshiko Kanada-En'yo

Asymmetric Ising model, in which coupled spins affect each other differently, plays an important role in diverse fields, from physics to biology to artificial intelligence. We show that coupled parametric oscillators provide a…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 C. Han , M. Wang , B. Zhang , M. I. Dykman , H. B. Chan

We review the physics of pair density wave (PDW) superconductors. We begin with a macroscopic description that emphasizes order induced by PDW states, such as charge density wave, and discuss related vestigial states that emerge as a…

Nearest-neighbor coupled-mode theory is a powerful framework to describe electromagnetic-wave propagation in multicore fibers but it lacks precision as the separation between cores decreases. We use abstract symmetries to study a ring of…

We show the transformation from a one-particle basis to a geminal basis, transformations between different geminal bases and demonstrate the Lie algebra of a geminal basis. From the basis transformations we express both the wave function…

Chemical Physics · Physics 2023-10-04 Lasse Kragh Sørensen

We report results for the angular three-point galaxy correlation function in the APM survey and compare them with theoretical expectations. For the first time, these measurements extend to sufficiently large scales to probe the weakly…

Astrophysics · Physics 2009-10-31 J. A. Frieman , E. Gaztanaga

We study a two-orbital $t$-$J_1$-$J_2$ model, originally developed to describe iron-based superconductors at low energies, in the presence of bond disorder (via next-nearest-neighbor $J_2$-bond dilution). By using the Bogoliubov--de Gennes…

Superconductivity · Physics 2017-04-24 Yao-Tai Kang , Wei-Feng Tsai , Dao-Xin Yao