# Non-Markovian Quantum Optics with Three-Dimensional State-Dependent Optical Lattices

@article{GonzalezTudela2018NonMarkovianQO,
title={Non-Markovian Quantum Optics with Three-Dimensional State-Dependent Optical Lattices},
author={Alejandro Gonz'alez-Tudela and Juan Ignacio Cirac},
journal={Quantum},
year={2018}
}
• Published 7 June 2018
• Physics
• Quantum
Quantum emitters coupled to structured photonic reservoirs experience unconventional individual and collective dynamics emerging from the interplay between dimensionality and non-trivial photon energy dispersions. In this work, we systematically study several paradigmatic three dimensional structured baths with qualitative differences in their bath spectral density. We discover non-Markovian individual and collective effects absent in simplified descriptions, such as perfect subradiant states…
26 Citations

## Figures from this paper

Effective many-body Hamiltonians of qubit-photon bound states
• Physics
New Journal of Physics
• 2018
Quantum emitters (QEs) coupled to structured baths can localize multiple photons around them and form qubit-photon bound states. In the Markovian or weak coupling regime, the interaction of QEs
Anisotropic Quantum Emitter Interactions in Two-Dimensional Photonic-Crystal Baths
• Physics
ACS Photonics
• 2018
Quantum emitters interacting with two-dimensional photonic-crystal baths experience strong and anisotropic collective dissipation when they are spectrally tuned to 2D Van-Hove singularities. In this
Unconventional quantum optics in structured photonic environments
Recent experimental advances provide us with platforms where natural or artificial quantum emitters interact with structured photons or matter waves confined to reduced dimensionalities. In this
Limits of photon-mediated interactions in one-dimensional photonic baths
• Physics
• 2020
The exchange of off-resonant propagating photons between distant quantum emitters induces coherent interactions among them. The range of such interactions, and whether they are accompanied by
Chiral quantum optics in photonic sawtooth lattices
• Physics
Physical Review Research
• 2020
Chiral quantum optics has become a burgeoning field due to its potential applications in quantum networks or quantum simulation of many-body physics. Current implementations are based on the
Dynamics of matter-wave quantum emitters in a structured vacuum
• Physics
• 2020
The characteristics of spontaneous emission can be strongly modified by the mode structure of the vacuum. In waveguide quantum-electrodynamics based on photonic crystals, this modification is
Engineering and Harnessing Giant Atoms in High-Dimensional Baths: A Proposal for Implementation with Cold Atoms.
• Physics
Physical review letters
• 2019
This work shows how to create giant atoms in dynamical state-dependent optical lattices, which offers the possibility of coupling them to structured baths in arbitrary dimensions, which opens up new avenues to a variety of phenomena and opportunities for quantum simulation.
Tunable and Robust Long-Range Coherent Interactions between Quantum Emitters Mediated by Weyl Bound States.
• Physics
Physical review letters
• 2020
This is the first proposal of a photonic setup that combines simultaneously coherence, tunability, long range, and robustness to disorder, and could ultimately pave the way for the design of more robust long-distance entanglement protocols or quantum simulation implementations for studying long-range interacting systems.
Bound states in ultrastrong waveguide QED
• Physics
• 2020
We discuss the properties of bound states in finite-bandwidth waveguide QED beyond the rotating wave approximation or excitation-number-conserving light-matter coupling models. Therefore, we extend
Quantum simulation with fully coherent dipole-dipole interactions mediated by three-dimensional subwavelength atomic arrays
• Physics
Physical Review A
• 2021
Quantum simulators employing cold atoms are among the most promising approaches to tackle quantum many-body problems. Nanophotonic structures are widely employed to engineer the bandstructure of

## References

SHOWING 1-10 OF 140 REFERENCES
Markovian and non-Markovian dynamics of quantum emitters coupled to two-dimensional structured reservoirs
• Physics
• 2017
The interaction of quantum emitters with structured baths modifies both their individual and collective dynamics. In Gonz\'alez-Tudela \emph{et al} we show how exotic quantum dynamics emerge when QEs
Effective many-body Hamiltonians of qubit-photon bound states
• Physics
New Journal of Physics
• 2018
Quantum emitters (QEs) coupled to structured baths can localize multiple photons around them and form qubit-photon bound states. In the Markovian or weak coupling regime, the interaction of QEs
Quantum optics of chiral spin networks
• Physics
• 2015
We study the driven-dissipative dynamics of a network of spin-1/2 systems coupled to one or more chiral 1D bosonic waveguides within the framework of a Markovian master equation. We determine how the
Quantum Emitters in Two-Dimensional Structured Reservoirs in the Nonperturbative Regime.
• Physics
Physical review letters
• 2017
We show that the coupling of quantum emitters to a two-dimensional reservoir with a simple band structure gives rise to exotic quantum dynamics with no analogue in other scenarios and which cannot be
Exotic quantum dynamics and purely long-range coherent interactions in Dirac conelike baths
• Physics
• 2018
In this work we study the quantum dynamics emerging when quantum emitters exchange excitations with a two-dimensional bosonic bath with a Dirac cone dispersion. We show that a single quantum emitter
Topological Quantum Optics in Two-Dimensional Atomic Arrays.
• Physics
Physical review letters
• 2017
We demonstrate that two-dimensional atomic emitter arrays with subwavelength spacing constitute topologically protected quantum optical systems where the photon propagation is robust against large
Atom-field dressed states in slow-light waveguide QED
• Physics
• 2016
We discuss the properties of atom-photon bound states in waveguide QED systems consisting of single or multiple atoms coupled strongly to a finite-bandwidth photonic channel. Such bound states are
Simulating quantum-optical phenomena with cold atoms in optical lattices
• Physics
• 2011
We propose a scheme involving cold atoms trapped in optical lattices to observe different phenomena traditionally linked to quantum-optical systems. The basic idea consists of connecting the trapped
Bound states and entanglement generation in waveguide quantum electrodynamics
• Physics
• 2016
We investigate the behavior of two quantum emitters (two-level atoms) embedded in a linear waveguide, in a quasi-one-dimensional configuration. Since the atoms can emit, absorb and reflect radiation,
Analysis of non-Markovian coupling of a lattice-trapped atom to free space
• Physics
• 2017
Behavior analogous to that of spontaneous emission in photonic band gap materials has been predicted for an atom-optical system consisting of an atom confined in a well of a state-dependent optical