Work

Duality Between the Weak and Strong Interaction Limits for Randomly Interacting Fermions

Year: 2002

Type: article

Abstract: We establish the existence of a duality transformation for generic models of interacting fermions with two-body interactions. The eigenstates at weak and strong interaction U possess similar statistical properties when expressed in the U=0 and U= infinity eigenstates bases, respectively. This implies the existence of a duality point U(d) where the eigenstates have the same spreading in both bases. U(d) is surrounded by an interval of finite width which is characterized by a non-Lorentzian spreading of the strength function in both bases. Scaling arguments predict the survival of this intermediate regime as the number of particles is increased.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.89.134101

Authors: Philippe Jacquod, Imre Varga

Institutions: Leiden University, Philipps University of Marburg, Budapest University of Technology and Economics

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2034515652

FWCI: 2.046

Cites: 28

Cited by: 36

Related to: 10