Topological phase transitions and chiral inelastic transport induced by the squeezing of light

Vittorio Peano (), Martin Houde, Christian Brendel, Florian Marquardt and Aashish A. Clerk
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Vittorio Peano: Institute for Theoretical Physics, University of Erlangen-Nürnberg
Martin Houde: McGill University, 3600 rue University
Christian Brendel: Institute for Theoretical Physics, University of Erlangen-Nürnberg
Florian Marquardt: Institute for Theoretical Physics, University of Erlangen-Nürnberg
Aashish A. Clerk: McGill University, 3600 rue University

Nature Communications, 2016, vol. 7, issue 1, 1-8

Abstract: Abstract There is enormous interest in engineering topological photonic systems. Despite intense activity, most works on topological photonic states (and more generally bosonic states) amount in the end to replicating a well-known fermionic single-particle Hamiltonian. Here we show how the squeezing of light can lead to the formation of qualitatively new kinds of topological states. Such states are characterized by non-trivial Chern numbers, and exhibit protected edge modes, which give rise to chiral elastic and inelastic photon transport. These topological bosonic states are not equivalent to their fermionic (topological superconductor) counterparts and, in addition, cannot be mapped by a local transformation onto topological states found in particle-conserving models. They thus represent a new type of topological system. We study this physics in detail in the case of a kagome lattice model, and discuss possible realizations using nonlinear photonic crystals or superconducting circuits.

Date: 2016
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DOI: 10.1038/ncomms10779

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