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The zero-temperature dynamical structure factor $S(q,\omega)$ of one-dimensional hard rods is computed using state-of-the-art quantum Monte Carlo and analytic continuation techniques, complemented by a Bethe Ansatz analysis. As the density…

Other Condensed Matter · Physics 2016-10-19 M. Motta , E. Vitali , M. Rossi , D. E. Galli , G. Bertaina

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 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 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 develop a form factor approach to the study of dynamical correlation functions of quantum integrable models in the critical regime. As an example, we consider the quantum non-linear Schr\"odinger model. We derive long-distance/long-time…

Mathematical Physics · Physics 2017-03-17 N. Kitanine , K. K. Kozlowski , J. M. Maillet , N. A. Slavnov , V. Terras

Frustrated spin systems can show phases with spontaneous breaking of spin-rotational symmetry without the formation of local magnetic order. We study the dynamic response of the spin-nematic phase of one-dimensional spin-1/2 systems,…

Strongly Correlated Electrons · Physics 2018-10-02 Flávia B. Ramos , Sebas Eliëns , Rodrigo G. Pereira

The dynamical structure factor is one of the experimental quantities crucial in scrutinizing the validity of the microscopic description of strongly correlated systems. However, despite its long-standing importance, it is exceedingly…

Strongly Correlated Electrons · Physics 2020-10-22 Maria Laura Baez , Marcel Goihl , Jonas Haferkamp , Juani Bermejo-Vega , Marek Gluza , Jens Eisert

We calculate the ground-state energy, pair correlation function, static structure factor, and momentum density of the one-dimensional electron fluid at high density using variational quantum Monte Carlo simulation. For an infinitely thin…

Strongly Correlated Electrons · Physics 2018-10-03 Vinod Ashokan , N. D. Drummond , K. N. Pathak

The dynamic sructure factor as the basic quantity describing the collective excitations in a fluid is considered. We consider the cases of neutral and Coulombic fluids. The classical method of moments is applied to construct the dynamic…

Plasma Physics · Physics 2009-10-31 J. Ortner

The dynamical structure factor (DSF) represents a measure of dynamical density-density correlations in a quantum many-body system. Due to the complexity of many-body correlations and quantum fluctuations in a system of an infinitely large…

Quantum Gases · Physics 2023-08-15 Run-Tian Li , Song Cheng , Yang-Yang Chen , Xi-Wen Guan

We consider a zero-temperature one-dimensional system of bosons interacting via the soft-shoulder potential in the continuum, typical of dressed Rydberg gases. We employ quantum Monte Carlo simulations, which allow for the exact calculation…

We derive the dynamical structure factor for an inhomogeneous Tomonaga-Luttinger liquid as can be formed in a confined strongly interacting one-dimensional gas. In view of current experimental progress in the field, we provide a simple…

Quantum Gases · Physics 2012-01-31 E. Orignac , R. Citro , S. De Palo , M. -L. Chiofalo

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 study the spin-1 pyrochlore material NaCaNi$_2$F$_7$ with a combination of molecular dynamics simulations, stochastic dynamical theory and linear spin wave theory. The dynamical structure factor from inelastic neutron scattering is well…

Strongly Correlated Electrons · Physics 2019-05-01 Shu Zhang , Hitesh J. Changlani , Kemp W. Plumb , Oleg Tchernyshyov , Roderich Moessner

We study static properties and the dynamical structure factor of zero-temperature dilute bosons interacting via a soft-shoulder potential in one dimension. Our approach is fully microscopic and employs state-of-the-art quantum Monte Carlo…

Quantum Gases · Physics 2017-01-12 M. Teruzzi , D. E. Galli , G. Bertaina

The nonlinear Luttinger liquid phenomenology of one-dimensional correlated Fermi systems is an attempt to describe the effect of the band curvature beyond the Tomonaga-Luttinger liquid paradigm. It relies on the observation that the…

Strongly Correlated Electrons · Physics 2019-10-10 L. Markhof , M. Pletyukhov , V. Meden

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

We show how to compute analytically time and space dependent correlations in one dimensional quantum integrable systems with an impurity. Our approach is based on a description of these systems in terms of massless scattering of…

Condensed Matter · Physics 2009-10-28 F. Lesage , H. Saleur , S. Skorik

The dielectric response and structural properties of finite-temperature electron liquids are central to accurately describing the physical behavior of electronic systems. This study presents a robust analytical model for the static…

Plasma Physics · Physics 2026-03-19 Chengliang Lin , Yong Hou , Jianmin Yuan , Yong Wu , Jianguo Wang

Recent years have seen the development of a rich phenomenology beyond the Luttinger Liquid model of one dimensional quantum fluids, arising from interactions between the elementary phonon excitations. It has been known for some time,…

Quantum Gases · Physics 2015-09-29 Tom Price , Austen Lamacraft
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