Analog quantum simulation of superradiance and subradiance in trapped ions
Abstract
We discuss a protocol for the analog quantum simulation of superradiance and subradiance using a linear chain of $N$ trapped qubit ions with a single sympathetic cooling ion. We develop a simple analytic model that shows the dynamics of the qubit subspace converge to those of a cloud undergoing Dicke superradiance and subradiance. We provide numerical simulations of the full ion chain and show that they converge to the dynamics predicted by our analytic model with no fitting parameters. Finally, we also map out the parameter regime needed to reach this convergence.
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1601563
- Report Number(s):
- LLNL-JRNL-791496
Journal ID: ISSN 2469-9926; PLRAAN; 990453
- Grant/Contract Number:
- AC52-07NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 6; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS
Citation Formats
Sutherland, R. T. Analog quantum simulation of superradiance and subradiance in trapped ions. United States: N. p., 2019.
Web. doi:10.1103/PhysRevA.100.061405.
Sutherland, R. T. Analog quantum simulation of superradiance and subradiance in trapped ions. United States. doi:https://doi.org/10.1103/PhysRevA.100.061405
Sutherland, R. T. Wed .
"Analog quantum simulation of superradiance and subradiance in trapped ions". United States. doi:https://doi.org/10.1103/PhysRevA.100.061405. https://www.osti.gov/servlets/purl/1601563.
@article{osti_1601563,
title = {Analog quantum simulation of superradiance and subradiance in trapped ions},
author = {Sutherland, R. T.},
abstractNote = {We discuss a protocol for the analog quantum simulation of superradiance and subradiance using a linear chain of $N$ trapped qubit ions with a single sympathetic cooling ion. We develop a simple analytic model that shows the dynamics of the qubit subspace converge to those of a cloud undergoing Dicke superradiance and subradiance. We provide numerical simulations of the full ion chain and show that they converge to the dynamics predicted by our analytic model with no fitting parameters. Finally, we also map out the parameter regime needed to reach this convergence.},
doi = {10.1103/PhysRevA.100.061405},
journal = {Physical Review A},
number = 6,
volume = 100,
place = {United States},
year = {2019},
month = {12}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Precision Spectroscopy and Density-Dependent Frequency Shifts in Ultracold Sr
journal, April 2005
- Ido, Tetsuya; Loftus, Thomas H.; Boyd, Martin M.
- Physical Review Letters, Vol. 94, Issue 15
Trapped-Ion Quantum Simulator: Experimental Application to Nonlinear Interferometers
journal, November 2002
- Leibfried, D.; DeMarco, B.; Meyer, V.
- Physical Review Letters, Vol. 89, Issue 24
Superradiance: An essay on the theory of collective spontaneous emission
journal, December 1982
- Gross, M.; Haroche, S.
- Physics Reports, Vol. 93, Issue 5
Observation of Suppression of Light Scattering Induced by Dipole-Dipole Interactions in a Cold-Atom Ensemble
journal, September 2014
- Pellegrino, J.; Bourgain, R.; Jennewein, S.
- Physical Review Letters, Vol. 113, Issue 13
High-Fidelity Universal Gate Set for Ion Qubits
journal, August 2016
- Gaebler, J. P.; Tan, T. R.; Lin, Y.
- Physical Review Letters, Vol. 117, Issue 6
Collective dipole-dipole interactions in an atomic array
journal, July 2016
- Sutherland, R. T.; Robicheaux, F.
- Physical Review A, Vol. 94, Issue 1
High-Fidelity Quantum Logic Gates Using Trapped-Ion Hyperfine Qubits
journal, August 2016
- Ballance, C. J.; Harty, T. P.; Linke, N. M.
- Physical Review Letters, Vol. 117, Issue 6
Ion-Trap Quantum Logic Using Long-Wavelength Radiation
journal, November 2001
- Mintert, Florian; Wunderlich, Christof
- Physical Review Letters, Vol. 87, Issue 25
Directed Spontaneous Emission from an Extended Ensemble of Atoms: Timing Is Everything
journal, January 2006
- Scully, Marlan O.; Fry, Edward S.; Ooi, C. H. Raymond
- Physical Review Letters, Vol. 96, Issue 1
Superradiance and phase multistability in circuit quantum electrodynamics
journal, May 2011
- Delanty, M.; Rebić, S.; Twamley, J.
- New Journal of Physics, Vol. 13, Issue 5
High-Fidelity Preparation, Gates, Memory, and Readout of a Trapped-Ion Quantum Bit
journal, November 2014
- Harty, T. P.; Allcock, D. T. C.; Ballance, C. J.
- Physical Review Letters, Vol. 113, Issue 22
High-Fidelity Trapped-Ion Quantum Logic Using Near-Field Microwaves
journal, September 2016
- Harty, T. P.; Sepiol, M. A.; Allcock, D. T. C.
- Physical Review Letters, Vol. 117, Issue 14
Effective Quantum Spin Systems with Trapped Ions
journal, May 2004
- Porras, D.; Cirac, J. I.
- Physical Review Letters, Vol. 92, Issue 20
Trapped-Ion Spin-Motion Coupling with Microwaves and a Near-Motional Oscillating Magnetic Field Gradient
journal, April 2019
- Srinivas, R.; Burd, S. C.; Sutherland, R. T.
- Physical Review Letters, Vol. 122, Issue 16
Coherent forward broadening in cold atom clouds
journal, February 2016
- Sutherland, R. T.; Robicheaux, F.
- Physical Review A, Vol. 93, Issue 2
Observation of Dicke superradiance for two artificial atoms in a cavity with high decay rate
journal, November 2014
- Mlynek, J. A.; Abdumalikov, A. A.; Eichler, C.
- Nature Communications, Vol. 5, Issue 1
Quantum Computations with Cold Trapped Ions
journal, May 1995
- Cirac, J. I.; Zoller, P.
- Physical Review Letters, Vol. 74, Issue 20
The Onset of Matter-Wave Amplification in a Superradiant Bose-Einstein Condensate
journal, March 2003
- Schneble, D.
- Science, Vol. 300, Issue 5618
Entanglement and Tunable Spin-Spin Couplings between Trapped Ions Using Multiple Transverse Modes
journal, September 2009
- Kim, K.; Chang, M. -S.; Islam, R.
- Physical Review Letters, Vol. 103, Issue 12
Engineering Vibrationally Assisted Energy Transfer in a Trapped-Ion Quantum Simulator
journal, March 2018
- Gorman, Dylan J.; Hemmerling, Boerge; Megidish, Eli
- Physical Review X, Vol. 8, Issue 1
Role of disorder in super- and subradiance of cold atomic clouds
journal, July 2018
- Cottier, Florent; Kaiser, Robin; Bachelard, Romain
- Physical Review A, Vol. 98, Issue 1
An open-system quantum simulator with trapped ions
journal, February 2011
- Barreiro, Julio T.; Müller, Markus; Schindler, Philipp
- Nature, Vol. 470, Issue 7335
Dicke quantum phase transition with a superfluid gas in an optical cavity
journal, April 2010
- Baumann, Kristian; Guerlin, Christine; Brennecke, Ferdinand
- Nature, Vol. 464, Issue 7293
Rydberg-atom masers. I. A theoretical and experimental study of super-radiant systems in the millimeter-wave domain
journal, April 1983
- Moi, L.; Goy, P.; Gross, M.
- Physical Review A, Vol. 27, Issue 4
Superradiance and Exciton Delocalization in Bacterial Photosynthetic Light-Harvesting Systems
journal, September 1997
- Monshouwer, René; Abrahamsson, Malin; van Mourik, Frank
- The Journal of Physical Chemistry B, Vol. 101, Issue 37
Subradiance in a Large Cloud of Cold Atoms
journal, February 2016
- Guerin, William; Araújo, Michelle O.; Kaiser, Robin
- Physical Review Letters, Vol. 116, Issue 8
Coherence in Spontaneous Radiation Processes
journal, January 1954
- Dicke, R. H.
- Physical Review, Vol. 93, Issue 1
Superradiance at the localization-delocalization crossover in tubular chlorosomes
journal, February 2016
- Molina, Rafael A.; Benito-Matías, Enrique; Somoza, Alejandro D.
- Physical Review E, Vol. 93, Issue 2
Stochastic methods for light propagation and recurrent scattering in saturated and nonsaturated atomic ensembles
journal, June 2016
- Lee, Mark D.; Jenkins, Stewart D.; Ruostekoski, Janne
- Physical Review A, Vol. 93, Issue 6
Superradiance of quantum dots
journal, January 2007
- Scheibner, Michael; Schmidt, Thomas; Worschech, Lukas
- Nature Physics, Vol. 3, Issue 2
Demonstration of a Fundamental Quantum Logic Gate
journal, December 1995
- Monroe, C.; Meekhof, D. M.; King, B. E.
- Physical Review Letters, Vol. 75, Issue 25
Trapped-Ion Quantum Logic Gates Based on Oscillating Magnetic Fields
journal, August 2008
- Ospelkaus, C.; Langer, C.; Amini, J.
- Physical Review Letters, Vol. 101, Issue 9
Steady-state spin synchronization through the collective motion of trapped ions
journal, March 2017
- Shankar, Athreya; Cooper, John; Bohnet, Justin G.
- Physical Review A, Vol. 95, Issue 3
Experimental issues in coherent quantum-state manipulation of trapped atomic ions
journal, May 1998
- Wineland, D. J.; Monroe, C.; Itano, W. M.
- Journal of Research of the National Institute of Standards and Technology, Vol. 103, Issue 3
Observation of Single-Photon Superradiance and the Cooperative Lamb Shift in an Extended Sample of Cold Atoms
journal, August 2016
- Roof, S. J.; Kemp, K. J.; Havey, M. D.
- Physical Review Letters, Vol. 117, Issue 7
Quantum field theory of cooperative atom response: Low light intensity
journal, January 1997
- Ruostekoski, Janne; Javanainen, Juha
- Physical Review A, Vol. 55, Issue 1
Environment-Assisted Quantum Transport in a 10-qubit Network
journal, February 2019
- Maier, Christine; Brydges, Tiff; Jurcevic, Petar
- Physical Review Letters, Vol. 122, Issue 5
Quantum simulation of the Dirac equation
journal, January 2010
- Gerritsma, R.; Kirchmair, G.; Zähringer, F.
- Nature, Vol. 463, Issue 7277
Simulating open quantum systems by applying SU(4) to quantum master equations
journal, June 2013
- Xu, Minghui; Tieri, D. A.; Holland, M. J.
- Physical Review A, Vol. 87, Issue 6
Coherent Scattering of Near-Resonant Light by a Dense Microscopic Cold Atomic Cloud
journal, June 2016
- Jennewein, S.; Besbes, M.; Schilder, N. J.
- Physical Review Letters, Vol. 116, Issue 23
Quantum dynamics of trapped ions in a dynamic field gradient using dressed states
journal, August 2017
- Wölk, Sabine; Wunderlich, Christof
- New Journal of Physics, Vol. 19, Issue 8
Enhanced Optical Cross Section via Collective Coupling of Atomic Dipoles in a 2D Array
journal, March 2016
- Bettles, Robert J.; Gardiner, Simon A.; Adams, Charles S.
- Physical Review Letters, Vol. 116, Issue 10
Room-temperature spontaneous superradiance from single diamond nanocrystals
journal, October 2017
- Bradac, Carlo; Johnsson, Mattias T.; Breugel, Matthew van
- Nature Communications, Vol. 8, Issue 1
Fast-beam, zero-field level-crossing measurements of radiative lifetimes, fine and hyperfine structures in excited states of ionic and neutral beryllium
journal, June 1975
- Poulsen, O.; Andersen, T.; Skouboe, N. J.
- Journal of Physics B: Atomic and Molecular Physics, Vol. 8, Issue 9
Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition
journal, July 2018
- Safavi-Naini, A.; Lewis-Swan, R. J.; Bohnet, J. G.
- Physical Review Letters, Vol. 121, Issue 4
Versatile laser-free trapped-ion entangling gates
journal, March 2019
- Sutherland, R. T.; Srinivas, R.; Burd, S. C.
- New Journal of Physics, Vol. 21, Issue 3
Quantum Statistical Theory of Superradiance. I
journal, July 1971
- Bonifacio, R.; Schwendimann, P.; Haake, Fritz
- Physical Review A, Vol. 4, Issue 1
Superradiance in inverted multilevel atomic clouds
journal, March 2017
- Sutherland, R. T.; Robicheaux, F.
- Physical Review A, Vol. 95, Issue 3
Collective atomic scattering and motional effects in a dense coherent medium
journal, March 2016
- Bromley, S. L.; Zhu, B.; Bishof, M.
- Nature Communications, Vol. 7, Issue 1
Degenerate Zeeman ground states in the single-excitation regime
journal, November 2017
- Sutherland, R. T.; Robicheaux, F.
- Physical Review A, Vol. 96, Issue 5
Microwave quantum logic gates for trapped ions
journal, August 2011
- Ospelkaus, C.; Warring, U.; Colombe, Y.
- Nature, Vol. 476, Issue 7359
Integrated 9Be+ multi-qubit gate device for the ion-trap quantum computer
journal, August 2019
- Hahn, H.; Zarantonello, G.; Schulte, M.
- npj Quantum Information, Vol. 5, Issue 1