PairDiag: An exact diagonalization program for solving general pairing Hamiltonians

نویسندگان

چکیده

We present a program for solving exactly the general pairing Hamiltonian based on diagonalization. The generates seniority-zero shell-model-like basis vectors via ‘01’ inversion algorithm. matrix is constructed in this space. evaluates all non-zero elements of “on fly” using scattering operator and search diagonalized by iterative Lanczos OpenMP parallel thus developed, PairDiag, can efficiently calculate ground-state eigenvalue eigenvector both even-mass odd-mass system. packaged Fortran module, which makes it easy to use replace BCS approximation standard self-consistent mean field calculations. For systems with dimension around 108, calculation be done within hours desktop computers. Program Title: PairDiag. Files doi: https://doi.org/10.17632/dzzspfszsh.1 Licensing provisions: CC NC 3.0. Programming language: 95. Nature problem: numerically exact solution solved diagonalization configuration spaces fixed seniority. Solution method: constructs space algorithm, diagonalizes plus QR Restrictions: total number orbits involved must less than 63, that calculated restricted local RAM condition.

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

Exact diagonalization: the Bose–Hubbard model as an example

We take the Bose–Hubbard model to illustrate exact diagonalization techniques in a pedagogical way. We follow the route of first generating all the basis vectors, then setting up the Hamiltonian matrix with respect to this basis and finally using the Lanczos algorithm to solve low lying eigenstates and eigenvalues. Emphasis is placed on how to enumerate all the basis vectors and how to use the ...

متن کامل

Explicit symplectic integrators for solving nonseparable Hamiltonians.

By exploiting the error functions of explicit symplectic integrators for solving separable Hamiltonians, I show that it is possible to develop explicit time-reversible symplectic integrators for solving nonseparable Hamiltonians of the product form. The algorithms are unusual in that they are of fractional orders.

متن کامل

An exact-diagonalization study of rare events in disordered conductors

We determine the statistical properties of wave functions in disordered quantum systems by exact diagonalization of one-, twoand quasi-one dimensional tight-binding Hamiltonians. In the quasi-one dimensional case we find that the tails of the distribution of wave-function amplitudes are described by the non-linear σ-model. In two dimensions, the tails of the distribution function are consistent...

متن کامل

Rfold: an exact algorithm for computing local base pairing probabilities

MOTIVATION Base pairing probability matrices have been frequently used for the analyses of structural RNA sequences. Recently, there has been a growing need for computing these probabilities for long DNA sequences by constraining the maximal span of base pairs to a limited value. However, none of the existing programs can exactly compute the base pairing probabilities associated with the energy...

متن کامل

Classes of exact wavefunctions for general time-dependent Dirac Hamiltonians in 1+1 dimensions

In this work we construct two classes of exact solutions for the most general time-dependent Dirac Hamiltonian in 1+1 dimensions. Some problems regarding to some formal solutions in the literature are discussed. Finally the existence of a generalized Lewis-Riesenfeld invariant connected with such solutions is discussed. PACS numbers: 03.65.Ge, 03.65.Pm ∗E-mail: [email protected]

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: Computer Physics Communications

سال: 2021

ISSN: ['1879-2944', '0010-4655']

DOI: https://doi.org/10.1016/j.cpc.2020.107349