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We study the quantum hard-rods model and obtain compact analytical expressions for density form factors, and a semi-analytical treatment for dynamic and static structure factors calculations, greatly reducing computational complexity. We…

Quantum Gases · Physics 2026-01-14 Stanisław Kiedrzyński , Emilia Witkowska , Miłosz Panfil

We compute the zero-temperature dynamical structure factor of one-dimensional liquid $^4$He by means of state-of-the-art Quantum Monte Carlo and analytic continuation techniques. By increasing the density, the dynamical structure factor…

Other Condensed Matter · Physics 2016-04-05 G. Bertaina , M. Motta , M. Rossi , E. Vitali , D. E. Galli

The accurate description of electrons at extreme density and temperature is of paramount importance for, e.g., the understanding of astrophysical objects and inertial confinement fusion. In this context, the dynamic structure factor…

Plasma Physics · Physics 2018-12-26 T. Dornheim , S. Groth , J. Vorberger , M. Bonitz

We obtain an exact analytic expression for the dynamical structure factor of one-dimensional quantum gas of hard rods. Our result is valid for arbitrary many-body state of the system, with finite temperature states and the ground state…

Quantum Gases · Physics 2026-01-22 Oleksandr Gamayun , Miłosz Panfil

We calculate the dynamic structure factor S (omega, q) of spinless fermions in one dimension with quadratic energy dispersion k^2/2m and long range density-density interaction whose Fourier transform f_q is dominated by small…

Strongly Correlated Electrons · Physics 2008-08-15 Peyman Pirooznia , Florian Schuetz , Peter Kopietz

In a recent Letter [T. Dornheim et al., Phys. Rev. Lett. 121, 255001 (2018)] we have presented the first ab initio results for the dynamic structure factor $S(\mathbf{q},\omega)$ of the uniform electron gas for conditions ranging from the…

Plasma Physics · Physics 2019-06-19 Simon Groth , Tobias Dornheim , Jan Vorberger

We study the effect of thermal and quantum fluctuations on the dynamical response of a one-dimensional strongly-interacting Bose gas in a tight atomic waveguide. We combine the Luttinger liquid theory at arbitrary interactions and the exact…

Quantum Gases · Physics 2015-06-18 Guillaume Lang , Frank Hekking , Anna Minguzzi

The zero-temperature dynamical structure factor of the one-dimensional Bose gas with delta-function interaction (Lieb-Liniger model) is computed using a hybrid theoretical/numerical method based on the exact Bethe Ansatz solution, which…

Statistical Mechanics · Physics 2009-11-11 J. -S. Caux , P. Calabrese

We present new analytic continuation results for the dynamic structure factor $S(\mathbf{q},\omega)$ of the uniform electron liquid based on quasi-exact \emph{ab initio} path integral Monte Carlo (PIMC) data for the imaginary-time…

Computational Physics · Physics 2026-03-31 Thomas Chuna , Maximilian P. Böhme , Tobias Dornheim

We present measurements of the dynamical structure factor $S(q,\omega)$ of an interacting one-dimensional (1D) Fermi gas for small excitation energies. We use the two lowest hyperfine levels of the $^6$Li atom to form a pseudo-spin-1/2…

Atomic Physics · Physics 2018-09-12 T. L. Yang , P. Grišins , Y. T. Chang , Z. H. Zhao , C. Y. Shih , T. Giamarchi , R. G. Hulet

We study the dynamic structure factor $S(\vec{q},\omega)$ of superfluid 4He at zero temperature in the roton momentum region and beyond using field-theoretical Green's function techniques. We start from the Gavoret-Nozi\`{e}res two-particle…

Condensed Matter · Physics 2009-11-07 J. Szwabinski , M. Weyrauch

A quantum Monte Carlo simulation of a system of hard rods in one dimension is presented and discussed. The calculation is exact since the analytical form of the wavefunction is known, and is in excellent agreement with predictions obtained…

Other Condensed Matter · Physics 2009-11-13 F. Mazzanti , G. E. Astrakharchik , J. Boronat , J. Casulleras

We investigate the dynamic structure factor of a system of Bose particles at zero temperature using quantum Monte Carlo methods. Interactions are modeled using a hard-sphere potential of size $a$ and simulations are performed for values of…

Quantum Gases · Physics 2015-06-17 Riccardo Rota , Filippo Tramonto , Davide Emilio Galli , Stefano Giorgini

We calculate the dynamical structure factor S(q, {\omega}) of a weakly interacting helical edge state in the presence of a magnetic field B. The latter opens a gap of width 2B in the single-particle spectrum, which becomes strongly…

Strongly Correlated Electrons · Physics 2015-06-17 Suhas Gangadharaiah , Thomas L. Schmidt , Daniel Loss

We combine Bethe Ansatz and field theory methods to study the longitudinal dynamical structure factor S^{zz}(q,omega) for the anisotropic spin-1/2 chain in the gapless regime. Using bosonization, we derive a low energy effective model,…

Strongly Correlated Electrons · Physics 2009-11-13 R. G. Pereira , J. Sirker , J. -S. Caux , R. Hagemans , J. M. Maillet , S. R. White , I. Affleck

We evaluate the dynamic structure factor $S(q,\omega)$ of a one-dimensional quantum Hamiltonian with the inverse-square interaction (Calogero-Sutherland model). For a fixed small $q$, the structure factor differs from zero in a finite…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pustilnik

While the 1D Bose gas appears to exhibit superfluid response under certain conditions, it fails the Landau criterion according to the elementary excitation spectrum calculated by Lieb. The apparent riddle is solved by calculating the…

Other Condensed Matter · Physics 2007-05-23 Joachim Brand , Alexander Yu. Cherny

The one-dimensional hard rod model describes impenetrable bosons with finite diameter, extending the Lieb-Liniger model to systems with excluded volume interactions. Here, we investigate the thermodynamics of quantum HRs using Yang-Yang…

Strongly Correlated Electrons · Physics 2026-05-25 Shengjie Yu , Zhaoxuan Zhu , Laurent Sanchez-Palencia

We compute the zero temperature dynamical structure factor $S({\bf q},\omega)$ of the triangular lattice Heisenberg model (TLHM) using a Schwinger boson approach that includes the Gaussian fluctuations ($1/N$ corrections) of the saddle…

Strongly Correlated Electrons · Physics 2018-11-06 E. A. Ghioldi , M. G. Gonzalez , Shang-Shun Zhang , Yoshitomo Kamiya , L. O. Manuel , A. E. Trumper , C. D. Batista

Understanding the dynamic properties of the uniform electron gas (UEG) is important for numerous applications ranging from semiconductor physics to exotic warm dense matter. In this work, we apply the maximum entropy method (MEM), as…

Strongly Correlated Electrons · Physics 2025-09-19 Thomas Chuna , Nicholas Barnfield , Jan Vorberger , Michael P. Friedlander , Tim Hoheisel , Tobias Dornheim
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