Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session N14: Quantum Quenches and Heat Transport
11:30 AM–2:18 PM,
Wednesday, March 6, 2024
Room: M100E
Sponsoring
Unit:
DCMP
Chair: Mihir Pendharkar, Stanford University
Abstract: N14.00014 : Boundary Kondo Impurity with PT-symmetry and Beyond: a Bethe Ansatz approach
2:06 PM–2:18 PM
Presenter:
Yicheng Tang
(Rutgers University)
Authors:
Yicheng Tang
(Rutgers University)
Natan Andrei
(Rutgers University, New Brunswick)
Pradip Kattel
(Rutgers University)
Patrick Azaria
(Sorbonne Universit´e and CNRS)
Parameshwar R Pasnoori
(University of Maryland)
This raises interesting questions about how these open systems differ from closed ones and what new physics would emerge in such systems. In this work, we study a one-dimensional conducting wire attached with complex coupling constants to Kondo impurities one at each edge, the two coupling constants being complex conjugates of each other leading to a PT-symmetric Hamiltonian. We also investigate how the physics changes when the PT symmetry is broken.
We solve the non-Hermitian Hamiltonian exactly with the Bethe Ansatz approach, obtain the spectrum of its eigenstates, and analyze their stability. We show that new phases arise, phases that do not exist in the conventional Kondo problem, and study boundary phase transitions between them.
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