Continuum limit Tonks-Girardeau matrix elements. Part I. The ground state and the uniform density state

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Super-Tonks-Girardeau state in an attractive one-dimensional dipolar gas.

The ground state of a one-dimensional (1D) quantum gas of dipoles oriented perpendicular to the longitudinal axis, with a strong 1/x(3) repulsive potential, is studied at low 1D densities n. Near contact the dependence of the many-body wave function on the separation x(jℓ) of two particles reduces to a two-body wave function Ψ(rel)(x(jℓ)). Immediately after a sudden rotation of the dipoles so t...

متن کامل

Bosonization, pairing, and superconductivity of the fermionic Tonks-Girardeau gas.

We determine some exact static and time-dependent properties of the fermionic Tonks-Girardeau (FTG) gas, a spin-aligned one-dimensional Fermi gas with infinitely strongly attractive zero-range odd-wave interactions. We show that its two-particle reduced density matrix exhibits superconductive off-diagonal long-range order, and on a ring an FTG gas with an even number of atoms has a highly degen...

متن کامل

An eccentrically perturbed Tonks–Girardeau gas

We investigate the static and dynamic properties of a Tonks–Girardeau gas in a harmonic trap with an eccentric δ-perturbation of variable strength. For this, we first find the analytic eigensolution of the single particle problem and then use this solution to calculate the spatial density and energy profiles of the many-particle gas as a function of the strength and position of the perturbation...

متن کامل

Metastable criticality and the super Tonks-Girardeau gas.

We consider a 1D Bose gas with attractive interactions in a highly excited state containing no bound states. We show that in this so-called super Tonks-Girardeau gas, relaxation processes are suppressed, making the system metastable over long time scales. We compute dynamical correlation functions, revealing the structure of excitations, an enhancement of umklapp correlations and new branches d...

متن کامل

On Density and Temperature-dependent Ground-state and Continuum Eeects in the Equation of State for Stellar Interiors

The consequence of shifts in bound-state energies and the position of the continuum for thermodynamic quantities are examined. Two independent methods from diierent branches of physics are brought together. A simple free-energy model is used to examine the thermodynamic consequences of the results of a quantum statistical calculations of two-particle properties in a plasma using Green-function ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of High Energy Physics

سال: 2019

ISSN: 1029-8479

DOI: 10.1007/jhep10(2019)248