Mapping repulsive to attractive interaction in driven–dissipative quantum systems

Autor: Andy C Y Li, Jens Koch
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: New Journal of Physics, Vol 19, Iss 11, p 115010 (2017)
Druh dokumentu: article
ISSN: 1367-2630
DOI: 10.1088/1367-2630/aa8d5b
Popis: Repulsive and attractive interactions usually lead to very different physics. Striking exceptions exist in the dynamics of driven–dissipative quantum systems. For the example of a photonic Bose–Hubbard dimer, we establish a one-to-one mapping relating cases of onsite repulsion and attraction. We prove that the mapping is valid for an entire class of Markovian open quantum systems with a time-reversal-invariant Hamiltonian and physically meaningful inverse-sign Hamiltonian. To underline the broad applicability of the mapping, we illustrate the one-to-one correspondence between the nonequilibrium dynamics in a geometrically frustrated spin lattice and those in a non-frustrated partner lattice.
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