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arXiv · 1706.06181

Mapping repulsive to attractive interaction in driven-dissipative quantum systems

Andy C. Y. Li·Jens Koch
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Abstract

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 the cases of onsite repulsion and attraction. We prove that the mapping is valid for an entire class of Markovian open quantum systems with 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 that in a non-frustrated partner lattice.

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Andy C. Y. Li, Jens Koch. 2017-06-19. Mapping repulsive to attractive interaction in driven-dissipative quantum systems. https://doi.org/10.1088/1367-2630/aa8d5b

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