Tan's adiabatic sweep theorem from the variational theorem for the scattering length

نویسندگان

چکیده

It is shown that variation of the one-particle dispersion in a universal many-body system enables us to obtain Tan's adiabatic sweep theorem and its generalization. The derivation based on Hellmann-Feynman variational for scattering length suggested our previous paper [Cherny Shanenko, Phys. Rev. E 62, 1646 (2000)]. As an example, effects spinless bosons are considered. With help theorem, we mean kinetic interaction energies derive virial homogeneous trapped bosons. results can easily be generalized two-component fermions with interactions between opposite spins.

برای دانلود رایگان 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

Consistency of the Adiabatic Theorem

The adiabatic theorem provides the basis for the adiabatic model of quantum computation. Recently the conditions required for the adiabatic theorem to hold have become a subject of some controversy. Here we show that the reported violations of the adiabatic theorem all arise from resonant transitions between energy levels. In the absence of fast driven oscillations the traditional adiabatic the...

متن کامل

An Adiabatic Theorem for Resonances

We prove a robust extension of the quantum adiabatic theorem. The theorem applies to systems that have resonances instead of bound states, and to systems for which just an approximation to a bound state is known. To demonstrate the theorem’s usefulness in a concrete situation, we apply it to shape resonances. Partially Supported by National Science Foundation Grant DMS–0907165. Partially Suppor...

متن کامل

The Adiabatic Theorem of Quantum Mechanics

We prove the adiabatic theorem for quantum evolution without the traditional gap condition. We show that the theorem holds essentially in all cases where it can be formulated. In particular, our result implies that the adiabatic theorem holds also for eigenvalues embedded in the continuous spectrum. If there is information on the Hölder continuity of the spectral measure, then one can also esti...

متن کامل

An Elementary Proof of the Adiabatic Theorem

We provide an elementary proof of the adiabatic theorem.

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: Physical review

سال: 2021

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physreva.104.043304