Dynamical Correlation Functions for an Impenetrable Bose Gas with Open Boundary Conditions

نویسنده

  • Takeo Kojima
چکیده

We study the time and temperature dependent correlation functions for an impenetrable bose gas with open boundary conditions. We derive the Fredholm determinant formulae for the correlation functions, by means of the Bethe Ansatz. In the case of time independent ground state, our Fredholm determinant formulae degenerate to the one which have been obtained by the help of fermions [1].

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Dynamical Correlation Functions for an Impenetrable Bose Gas with Neumann or Dirichlet Boundary Conditions

We study the time and temperature dependent correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions 〈ψ(x1, 0)ψ(x2, t)〉±,T . We derive the Fredholm determinant formulae for the correlation functions, by means of the Bethe Ansatz. For the special case x1 = 0, we express correlation functions with Neumann boundary conditions 〈ψ(0, 0)ψ(x2, t)〉+,T , in terms ...

متن کامل

Ground state Correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions

We study density correlation functions for an impenetrable Bose gas in a finite box, with Neu-mann or Dirichlet boundary conditions in the ground state. We derive the Fredholm minor determinant formulas for the correlation functions. In the thermodynamic limit, we express the correlation functions in terms of solutions of non-linear differential equations which were introduced by Jimbo, Miwa, M...

متن کامل

Correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundaries

We study field correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundaries. We derive the Fredholm minor determinant formulas for the correlation functions in a finite box. In the thermodynamic limit, we express the correlation functions in terms of solutions of non-linear differential equations which was introduced as the generalization of the fifth Painlevé equations.

متن کامل

Painlevé transcendent evaluations of finite system density matrices for 1 d impenetrable

The recent experimental realisation of a one-dimensional Bose gas of ultra cold alkali atoms has renewed attention on the theoretical properties of the impenetrable Bose gas. Of primary concern is the ground state occupation of effective single particle states in the finite system, and thus the tendency for Bose-Einstein condensation. This requires the computation of the density matrix. For the...

متن کامل

Painlevé transcendent evaluations of finite system density matrices for 1d impenetrable Bosons

The recent experimental realisation of a one-dimensional Bose gas of ultra cold alkali atoms has renewed attention on the theoretical properties of the impenetrable Bose gas. Of primary concern is the ground state occupation of effective single particle states in the finite system, and thus the tendency for Bose-Einstein condensation. This requires the computation of the density matrix. For the...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997