Mapping repulsive to attractive interaction in driven-dissipative quantum systems

Andy C.Y. Li, Jens Koch

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.

Original languageEnglish (US)
Article number115010
JournalNew Journal of Physics
Issue number11
StatePublished - Nov 2017


  • Bose-Hubbard dimmer
  • driven dissipative photonic systems
  • nonequilibrium many-body physics
  • time-reversal symmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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