Quantum theory of single-photon nonlinearities generated by ensembles of
emitters
- URL: http://arxiv.org/abs/2307.01375v1
- Date: Mon, 3 Jul 2023 22:02:51 GMT
- Title: Quantum theory of single-photon nonlinearities generated by ensembles of
emitters
- Authors: Kurt Jacobs, Stefan Krastanov, Mikkel Heuck, Dirk R. Englund
- Abstract summary: We present a theory of the generation of optical nonlinearities by single emitters and ensembles.
The theory reveals critical properties of ensembles that have long been obscure.
It also provides an efficient way to calculate nonlinearities for arbitrary multi-level driving schemes.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The achievement of sufficiently fast interactions between two optical fields
at the few-photon level would provide a key enabler for a broad range of
quantum technologies. One critical hurdle in this endeavor is the lack of a
comprehensive quantum theory of the generation of nonlinearities by ensembles
of emitters. Distinct approaches applicable to different regimes have yielded
important insights: i) a semiclassical approach reveals that, for many-photon
coherent fields, the contributions of independent emitters add independently
allowing ensembles to produce strong optical nonlinearities via EIT; ii) a
quantum analysis has shown that in the few-photon regime collective coupling
effects prevent ensembles from inducing these strong nonlinearities. Rather
surprisingly, experimental results with around twenty photons are in line with
the semi-classical predictions. Theoretical analysis has been fragmented due to
the difficulty of treating nonlinear many-body quantum systems. Here we are
able to solve this problem by constructing a powerful theory of the generation
of optical nonlinearities by single emitters and ensembles. The key to this
construction is the application of perturbation theory to perturbations
generated by subsystems. This theory reveals critical properties of ensembles
that have long been obscure. The most remarkable of these is the discovery that
quantum effects prevent ensembles generating single-photon nonlinearities only
within the rotating-wave regime; outside this regime single-photon
nonlinearities scale as the number of emitters. The theory we present here also
provides an efficient way to calculate nonlinearities for arbitrary multi-level
driving schemes, and we expect that it will prove a powerful foundation for
further advances in this area.
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