Few-photon transport in strongly interacting light-matter systems: A scattering approach

2019 ◽  
Vol 17 (06) ◽  
pp. 1950050
Author(s):  
Tian Feng See
Keyword(s):  
Quantum Electrodynamics ◽  
Quantum Information Processing ◽  
Transmission Probability ◽  
Many Body ◽  
Photon Transport ◽  
Diagrammatic Technique ◽  
Two Photon ◽  
Photon States ◽  
Photon Interactions ◽  
Comprehensive Study

Engineering strong photon–photon interactions at the quantum level have been crucial in various areas of research, notably in quantum information processing and quantum simulation. It is often done by coupling matter strongly to light. A promising way to achieve this is via waveguide quantum electrodynamics (QED). Motivated by these advancements, we study few-photon transport in waveguide QED setups. First, we present a diagrammatic technique to systematically study multiphoton scattering based on the scattering formalism and Green’s function approach. We demonstrate our proposal through physically relevant examples involving scattering of few-photon states from two-level emitters as well as from arrays of correlated Kerr nonlinear resonators described by the Bose–Hubbard model. In the second part, we apply the diagrammatic technique that was developed to perform a comprehensive study on a Bose–Hubbard lattice with a quasi-periodic potential. This model exhibits many-body localisation. We compute the two-photon transmission probability and show that it carries signatures of the underlying localisation transition with close agreement to the participation ratio of the eigenstates. The systematic scattering approach provided in this paper provides a foundation for future works at the interface between quantum optics and condensed matter.

scholarly journals Quantum Hall phases emerging from atom–photon interactions

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Alexander V. Poshakinskiy ◽  
Janet Zhong ◽  
Yongguan Ke ◽  
Nikita A. Olekhno ◽  
Chaohong Lee ◽  
...  
Keyword(s):  
Quantum Hall Effect ◽  
Quantum Electrodynamics ◽  
Quantum Hall ◽  
Landau Levels ◽  
Topological Order ◽  
Edge States ◽  
Quantum Structure ◽  
Many Body ◽  
Photon Interactions ◽  
Synthetic Magnetic Field

AbstractWe reveal the emergence of quantum Hall phases, topological edge states, spectral Landau levels, and Hofstadter butterfly spectra in the two-particle Hilbert space of an array of periodically spaced two-level atoms coupled to a waveguide (waveguide quantum electrodynamics). While the topological edge states of photons require fine-tuned spatial or temporal modulations of the parameters to generate synthetic magnetic fields and the quantum Hall effect, here we demonstrate that a synthetic magnetic field can be self-induced solely by atom–photon interactions. The fact that topological order can be self-induced in what is arguably the simplest possible quantum structure shows the richness of these waveguide quantum electrodynamics systems. We believe that our findings will advance several research disciplines including quantum optics, many-body physics, and nonlinear topological photonics, and that it will set an important reference point for the future experiments on qubit arrays and quantum simulators.

scholarly journals Photon engineering for quantum information processing

2003 ◽  
Vol 3 (special) ◽  
pp. 480-502
Author(s):  
A.B. U'Ren ◽  
K. Banaszek ◽  
I.A. Walmsley
Keyword(s):  
Information Processing ◽  
Quantum Information ◽  
Quantum Interference ◽  
Quantum Information Processing ◽  
Logic Gate ◽  
Optical Systems ◽  
Two Photon ◽  
Entangled Photon Pairs ◽  
Available Technology ◽  
Photon States

We study distinguishing information in the context of quantum interference involving more than one parametric downconversion (PDC) source and in the context of generating polarization-entangled photon pairs based on PDC. We arrive at specific design criteria for two-photon sources so that when used as part of complex optical systems, such as photon-based quantum information processing schemes, distinguishing information between the photons is eliminated guaranteeing high visibility interference. We propose practical techniques which lead to suitably engineered two-photon states that can be realistically implemented with available technology. Finally, we study an implementation of the nonlinear-sign shift (NS) logic gate with PDC sources and show the effect of distinguishing information on the performance of the gate.

Teleportation of Quantum Entangled Two-Photon States in the Presence of Noise

2013 ◽  
Vol 58 (3) ◽  
pp. 268-277
Author(s):  
I.S. Dotsenko ◽  
◽  
R.S. Korobka ◽  
Keyword(s):  
Two Photon ◽  
Photon States

scholarly journals Probing resonating valence bond states in artificial quantum magnets

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Kai Yang ◽  
Soo-Hyon Phark ◽  
Yujeong Bae ◽  
Taner Esat ◽  
Philip Willke ◽  
...  
Keyword(s):  
Quantum Information Processing ◽  
Energy Levels ◽  
Finite Size ◽  
Valence Bond ◽  
Exchange Interactions ◽  
Atomic Scale ◽  
Scanning Tunneling ◽  
Many Body ◽  
Quantum Magnets ◽  
Resonating Valence Bond

AbstractDesigning and characterizing the many-body behaviors of quantum materials represents a prominent challenge for understanding strongly correlated physics and quantum information processing. We constructed artificial quantum magnets on a surface by using spin-1/2 atoms in a scanning tunneling microscope (STM). These coupled spins feature strong quantum fluctuations due to antiferromagnetic exchange interactions between neighboring atoms. To characterize the resulting collective magnetic states and their energy levels, we performed electron spin resonance on individual atoms within each quantum magnet. This gives atomic-scale access to properties of the exotic quantum many-body states, such as a finite-size realization of a resonating valence bond state. The tunable atomic-scale magnetic field from the STM tip allows us to further characterize and engineer the quantum states. These results open a new avenue to designing and exploring quantum magnets at the atomic scale for applications in spintronics and quantum simulations.

scholarly journals Erratum to: Control of Two-Photon Transport in a One-Dimensional Waveguide

2012 ◽  
Vol 51 (12) ◽  
pp. 4017-4017
Author(s):  
Wei-Bin Yan ◽  
Zhong-Ju Liu ◽  
Ling Zhou
Keyword(s):  
Photon Transport ◽  
One Dimensional ◽  
Two Photon

scholarly journals High-resolution spectral characterization of two photon states via classical measurements

2014 ◽  
Vol 8 (5) ◽  
pp. L76-L80 ◽  
Author(s):  
Andreas Eckstein ◽  
Guillaume Boucher ◽  
Aristide Lemaître ◽  
Pascal Filloux ◽  
Ivan Favero ◽  
...  
Keyword(s):  
High Resolution ◽  
Spectral Characterization ◽  
Two Photon ◽  
Photon States

First principles study of the structural, electronic and optical properties of crystalline o-phenanthroline

2016 ◽  
Vol 30 (14) ◽  
pp. 1650077 ◽  
Author(s):  
Hajar Nejatipour ◽  
Mehrdad Dadsetani
Keyword(s):  
Optical Properties ◽  
Electronic Structure ◽  
First Principles ◽  
Binding Energies ◽  
Many Body ◽  
Generalized Gradient ◽  
Generalized Gradient Approximation ◽  
Independent Particle ◽  
Excitonic Effects ◽  
Comprehensive Study

In a comprehensive study, structural properties, electronic structure and optical response of crystalline o-phenanthroline were investigated. Our results show that in generalized gradient approximation (GGA) approximation, o-phenanthroline is a direct bandgap semiconductor of 2.60 eV. In the framework of many-body approach, by solving the Bethe–Salpeter equation (BSE), dielectric properties of crystalline o-phenanthroline were studied and compared with phenanthrene. Highly anisotropic components of the imaginary part of the macroscopic dielectric function in o-phenanthroline show four main excitonic features in the bandgap region. In comparison to phenanthrene, these excitons occur at lower energies. Due to smaller bond lengths originated from the polarity nature of bonds in presence of nitrogen atoms, denser packing, and therefore, a weaker screening effect, exciton binding energies in o-phenanthroline were found to be larger than those in phenanthrene. Our results showed that in comparison to the independent-particle picture, excitonic effects highly redistribute the oscillator strength.

scholarly journals Critical slowing down in circuit quantum electrodynamics

2021 ◽  
Vol 7 (21) ◽  
pp. eabe9492
Author(s):  
Paul Brookes ◽  
Giovanna Tancredi ◽  
Andrew D. Patterson ◽  
Joseph Rahamim ◽  
Martina Esposito ◽  
...  
Keyword(s):  
Quantum Electrodynamics ◽  
Quantum Circuit ◽  
Critical Slowing Down ◽  
Microwave Cavity ◽  
Many Body ◽  
Circuit Quantum Electrodynamics ◽  
Slowing Down ◽  
The Rich ◽  
First Order Phase ◽  
Shed Light

Critical slowing down of the time it takes a system to reach equilibrium is a key signature of bistability in dissipative first-order phase transitions. Understanding and characterizing this process can shed light on the underlying many-body dynamics that occur close to such a transition. Here, we explore the rich quantum activation dynamics and the appearance of critical slowing down in an engineered superconducting quantum circuit. Specifically, we investigate the intermediate bistable regime of the generalized Jaynes-Cummings Hamiltonian (GJC), realized by a circuit quantum electrodynamics (cQED) system consisting of a transmon qubit coupled to a microwave cavity. We find a previously unidentified regime of quantum activation in which the critical slowing down reaches saturation and, by comparing our experimental results with a range of models, we shed light on the fundamental role played by the qubit in this regime.

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