Correlation function of fields in one-dimensional Bose-gas

DOI10.1007/BF02099079zbMath0727.35130MaRDI QIDQ803428

Nikita A. Slavnov, Vladimir E. Korepin

Publication date: 1991

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Bethe AnsatzBose gasinverse scattering method\(\tau \) functionsQuantum correlation functions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70)

Related Items (9)

Microscopic approach to a class of 1D quantum critical models ⋮ Determinant representation for correlation functions of spin-1/2 XXX and XXZ Heisenberg magnets ⋮ Correlators in the one-dimensional two-component Bose and Fermi gases ⋮ Large-distance and long-time asymptotic behavior of the reduced density matrix in the non-linear Schrödinger model ⋮ The relevant excitations for the one-body function in the Lieb–Liniger model ⋮ Cancellation of dual fields in free-fermion models with the trigonometric \(R\)-matrix ⋮ Fredholm determinants and \(\tau\)-functions ⋮ On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrödinger equation: Interacting fermion case ⋮ Temperature correlators in the two-component one-dimensional gas

Cites Work

• Calculation of norms of Bethe wave functions
• The time dependent correlation function of an impenetrable Bose gas as a Fredholm minor. I
• Long-distance asymptotics of temperature correlators of the impenetrable Bose gas
• Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
• Generating functional of correlation functions for the nonlinear Schrödinger equation
• DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS

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