Topological quantum interference in a pumped Su-Schrieffer-Heeger lattice
Abstract
Topological quantum interference emerges from the interplay between quantum mechanics and topology. We present evidence for two types of such interference phenomenon that can result from the quantum dynamics of initial topological states. We realize both types of topological quantum interference in a pumped non-Hermitian Su-Schrieffer-Heeger lattice that can be implemented by creation and coherent control of excitonic states of trapped neutral atoms. On quenching the system from the topological to the gapless phases and then back again, we find that interference patterns develop in the gapless phase and also after switching back to the topological phase. These patterns occur both as many-excitation interferences generated in the presence of pumping the atoms at the end sites, and as one- and two-excitation interferences seen in the absence of pumping when starting with edge excitations. Investigation of the excitation dynamics shows that these interference patterns originate from the topological nature of the initial states and are very different from quantum interferences originating from nontopological states of the lattice. Our results also reveal that unlike well-known situations where topological states are protected against local perturbations, in the non-Hermitian SSH systems resulting from driving the excited-state populations, a local dissipation at each lattice sitemore »
- Authors:
-
[1];
[1]
- University of California, Berkeley, CA (United States); Berkeley Center for Quantum Information and Computation, Berkeley, CA (United States)
- University of California, Berkeley, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1969181
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 105; Journal Issue: 5; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 74 ATOMIC AND MOLECULAR PHYSICS; lattice dynamics; quantum information processing; quantum interference effects; topological phases of matter
Citation Formats
Li, Zeng-Zhao, Atalaya, Juan, and Whaley, K. Birgitta. Topological quantum interference in a pumped Su-Schrieffer-Heeger lattice. United States: N. p., 2022.
Web. doi:10.1103/physreva.105.052418.
Li, Zeng-Zhao, Atalaya, Juan, & Whaley, K. Birgitta. Topological quantum interference in a pumped Su-Schrieffer-Heeger lattice. United States. https://doi.org/10.1103/physreva.105.052418
Li, Zeng-Zhao, Atalaya, Juan, and Whaley, K. Birgitta. Thu .
"Topological quantum interference in a pumped Su-Schrieffer-Heeger lattice". United States. https://doi.org/10.1103/physreva.105.052418. https://www.osti.gov/servlets/purl/1969181.
@article{osti_1969181,
title = {Topological quantum interference in a pumped Su-Schrieffer-Heeger lattice},
author = {Li, Zeng-Zhao and Atalaya, Juan and Whaley, K. Birgitta},
abstractNote = {Topological quantum interference emerges from the interplay between quantum mechanics and topology. We present evidence for two types of such interference phenomenon that can result from the quantum dynamics of initial topological states. We realize both types of topological quantum interference in a pumped non-Hermitian Su-Schrieffer-Heeger lattice that can be implemented by creation and coherent control of excitonic states of trapped neutral atoms. On quenching the system from the topological to the gapless phases and then back again, we find that interference patterns develop in the gapless phase and also after switching back to the topological phase. These patterns occur both as many-excitation interferences generated in the presence of pumping the atoms at the end sites, and as one- and two-excitation interferences seen in the absence of pumping when starting with edge excitations. Investigation of the excitation dynamics shows that these interference patterns originate from the topological nature of the initial states and are very different from quantum interferences originating from nontopological states of the lattice. Our results also reveal that unlike well-known situations where topological states are protected against local perturbations, in the non-Hermitian SSH systems resulting from driving the excited-state populations, a local dissipation at each lattice site can suppress both the topological interference and the total population of the lattice.},
doi = {10.1103/physreva.105.052418},
journal = {Physical Review A},
number = 5,
volume = 105,
place = {United States},
year = {Thu May 12 00:00:00 EDT 2022},
month = {Thu May 12 00:00:00 EDT 2022}
}
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:
Topological invariants for the Haldane phase of interacting Su-Schrieffer-Heeger chains: Functional renormalization-group approach
journal, October 2018
- Sbierski, Björn; Karrasch, Christoph
- Physical Review B, Vol. 98, Issue 16
Quantum interference in transport through almost symmetric double quantum dots
journal, March 2019
- Li, Zeng-Zhao; Leijnse, Martin
- Physical Review B, Vol. 99, Issue 12
Nonlinear effects in multi-photon polaritonics
journal, June 2013
- Pervishko, A. A.; Liew, T. C. H.; Kovalev, V. M.
- Optics Express, Vol. 21, Issue 13
Nonconservative Forces via Quantum Reservoir Engineering
journal, June 2018
- Vuglar, Shanon L.; Zhdanov, Dmitry V.; Cabrera, Renan
- Physical Review Letters, Vol. 120, Issue 23
Solitons in Polyacetylene
journal, June 1979
- Su, W. P.; Schrieffer, J. R.; Heeger, A. J.
- Physical Review Letters, Vol. 42, Issue 25
Topological States and Adiabatic Pumping in Quasicrystals
journal, September 2012
- Kraus, Yaacov E.; Lahini, Yoav; Ringel, Zohar
- Physical Review Letters, Vol. 109, Issue 10
Using coherence to enhance function in chemical and biophysical systems
journal, March 2017
- Scholes, Gregory D.; Fleming, Graham R.; Chen, Lin X.
- Nature, Vol. 543, Issue 7647
Topological entanglement properties of disconnected partitions in the Su-Schrieffer-Heeger model
journal, December 2020
- Micallo, Tommaso; Vitale, Vittorio; Dalmonte, Marcello
- SciPost Physics Core, Vol. 3, Issue 2
Selective enhancement of topologically induced interface states in a dielectric resonator chain
journal, April 2015
- Poli, Charles; Bellec, Matthieu; Kuhl, Ulrich
- Nature Communications, Vol. 6, Issue 1
Efficient isolation of multiphoton processes and detection of collective resonances in dilute samples
journal, November 2015
- Bruder, Lukas; Binz, Marcel; Stienkemeier, Frank
- Physical Review A, Vol. 92, Issue 5
Resonant edge-site pumping of polaritonic Su-Schrieffer-Heeger lattices
journal, August 2018
- Krivosenko, Yury; Iorsh, Ivan; Shelykh, Ivan
- Physical Review A, Vol. 98, Issue 2
Edge-Mode Lasing in 1D Topological Active Arrays
journal, March 2018
- Parto, Midya; Wittek, Steffen; Hodaei, Hossein
- Physical Review Letters, Vol. 120, Issue 11
High-Fidelity Teleportation of Continuous-Variable Quantum States Using Delocalized Single Photons
journal, August 2013
- Andersen, Ulrik L.; Ralph, Timothy C.
- Physical Review Letters, Vol. 111, Issue 5
Topologically protected bound states in photonic parity–time-symmetric crystals
journal, December 2016
- Weimann, S.; Kremer, M.; Plotnik, Y.
- Nature Materials, Vol. 16, Issue 4
Non-Hermitian dynamics without dissipation in quantum systems
journal, June 2019
- Wang, Yu-Xin; Clerk, A. A.
- Physical Review A, Vol. 99, Issue 6
Single Band Motion of Conduction Electrons in a Uniform Magnetic Field
journal, October 1955
- Harper, P. G.
- Proceedings of the Physical Society. Section A, Vol. 68, Issue 10
Optimal Quantum Interference Thermoelectric Heat Engine with Edge States
journal, June 2017
- Samuelsson, Peter; Kheradsoud, Sara; Sothmann, Björn
- Physical Review Letters, Vol. 118, Issue 25
Two-photon interference at telecom wavelengths for time-bin-encoded single photons from quantum-dot spin qubits
journal, November 2015
- Yu, Leo; Natarajan, Chandra M.; Horikiri, Tomoyuki
- Nature Communications, Vol. 6, Issue 1
Calculation of reduced density matrices from correlation functions
journal, March 2003
- Peschel, Ingo
- Journal of Physics A: Mathematical and General, Vol. 36, Issue 14
Quantum state tomography across the exceptional point in a single dissipative qubit
journal, October 2019
- Naghiloo, M.; Abbasi, M.; Joglekar, Yogesh N.
- Nature Physics, Vol. 15, Issue 12
Floquet engineering of long-range -wave superconductivity
journal, November 2014
- Benito, M.; Gómez-León, A.; Bastidas, V. M.
- Physical Review B, Vol. 90, Issue 20
A scheme for efficient quantum computation with linear optics
journal, January 2001
- Knill, E.; Laflamme, R.; Milburn, G. J.
- Nature, Vol. 409, Issue 6816
Floquet-Bloch Theory and Topology in Periodically Driven Lattices
journal, May 2013
- Gómez-León, A.; Platero, G.
- Physical Review Letters, Vol. 110, Issue 20
All-photonic quantum repeaters
journal, April 2015
- Azuma, Koji; Tamaki, Kiyoshi; Lo, Hoi-Kwong
- Nature Communications, Vol. 6, Issue 1
Engineering two-photon high-dimensional states through quantum interference
journal, February 2016
- Zhang, Yingwen; Roux, Filippus S.; Konrad, Thomas
- Science Advances, Vol. 2, Issue 2
Quantum Information Meets Quantum Matter: From Quantum Entanglement to Topological Phases of Many-Body Systems
book, January 2019
- Zeng, Bei; Chen, Xie; Zhou, Duan-Lu
- Quantum Science and Technology (QST) (book series)
Multihole edge states in Su-Schrieffer-Heeger chains with interactions
journal, March 2017
- Marques, A. M.; Dias, R. G.
- Physical Review B, Vol. 95, Issue 11
Floquet topological transitions in a driven one-dimensional topological insulator
journal, August 2015
- Dal Lago, V.; Atala, M.; Foa Torres, L. E. F.
- Physical Review A, Vol. 92, Issue 2
Quantum Cryptography with Entangled Photons
journal, May 2000
- Jennewein, Thomas; Simon, Christoph; Weihs, Gregor
- Physical Review Letters, Vol. 84, Issue 20
Observation of a symmetry-protected topological phase of interacting bosons with Rydberg atoms
journal, August 2019
- de Léséleuc, Sylvain; Lienhard, Vincent; Scholl, Pascal
- Science, Vol. 365, Issue 6455
Probing weak dipole-dipole interaction using phase-modulated nonlinear spectroscopy
journal, May 2017
- Li, Zeng-Zhao; Bruder, Lukas; Stienkemeier, Frank
- Physical Review A, Vol. 95, Issue 5
Topological hybrid silicon microlasers
journal, March 2018
- Zhao, Han; Miao, Pei; Teimourpour, Mohammad H.
- Nature Communications, Vol. 9, Issue 1
Optical Quantum Computation Using Cluster States
journal, July 2004
- Nielsen, Michael A.
- Physical Review Letters, Vol. 93, Issue 4
Light engineering of the polariton landscape in semiconductor microcavities
journal, August 2010
- Amo, A.; Pigeon, S.; Adrados, C.
- Physical Review B, Vol. 82, Issue 8
Lasing at topological edge states in a photonic crystal L3 nanocavity dimer array
journal, April 2019
- Han, Changhyun; Lee, Myungjae; Callard, Ségolène
- Light: Science & Applications, Vol. 8, Issue 1
The quantum-jump approach to dissipative dynamics in quantum optics
journal, January 1998
- Plenio, M. B.; Knight, P. L.
- Reviews of Modern Physics, Vol. 70, Issue 1
Floquet engineering of long-range
p
journal, October 2017
- Li, Zeng-Zhao; Lam, Chi-Hang; You, J. Q.
- Physical Review B, Vol. 96, Issue 15
Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
journal, January 2018
- Lieu, Simon
- Physical Review B, Vol. 97, Issue 4
Self-induced topological transitions and edge states supported by nonlinear staggered potentials
journal, April 2016
- Hadad, Yakir; Khanikaev, Alexander B.; Alù, Andrea
- Physical Review B, Vol. 93, Issue 15
Real-space effects of a quench in the Su–Schrieffer–Heeger model and elusive dynamical appearance of the topological edge states
journal, January 2022
- Rossi, Lorenzo; Rossi, Fausto; Dolcini, Fabrizio
- New Journal of Physics, Vol. 24, Issue 1
Resonant pumping of polaritonic SSH chains
journal, September 2018
- Krivosenko, Yury; Iorsh, Ivan; Shelykh, Ivan
- Journal of Physics: Conference Series, Vol. 1092
Unraveling excitation energy transfer assisted by collective behaviors of vibrations
journal, July 2021
- Li, Zeng-Zhao; Ko, Liwen; Yang, Zhibo
- New Journal of Physics, Vol. 23, Issue 7
Noise of entangled electrons: Bunching and antibunching
journal, June 2000
- Burkard, Guido; Loss, Daniel; Sukhorukov, Eugene V.
- Physical Review B, Vol. 61, Issue 24
Quasicrystals, Meet Topological Insulators
journal, September 2012
- Quandt, Alexander
- Physics, Vol. 5
$\mathcal{PT}$ -symmetric photonic quantum systems with gain and loss do not exist
journal, May 2018
- Scheel, S.; Szameit, A.
- EPL (Europhysics Letters), Vol. 122, Issue 3
Cooling a nanomechanical resonator by a triple quantum dot
journal, August 2011
- Li, Zeng-Zhao; Ouyang, Shi-Hua; Lam, Chi-Hang
- EPL (Europhysics Letters), Vol. 95, Issue 4
Nonlinear spectroscopy of controllable many-body quantum systems
journal, September 2014
- Gessner, Manuel; Schlawin, Frank; Häffner, Hartmut
- New Journal of Physics, Vol. 16, Issue 9
Topological phases of generalized Su-Schrieffer-Heeger models
journal, February 2014
- Li, Linhu; Xu, Zhihao; Chen, Shu
- Physical Review B, Vol. 89, Issue 8
Quantum interference of topological states of light
journal, September 2018
- Tambasco, Jean-Luc; Corrielli, Giacomo; Chapman, Robert J.
- Science Advances, Vol. 4, Issue 9
The quantum interference effect transistor
journal, September 2007
- Stafford, Charles A.; Cardamone, David M.; Mazumdar, Sumit
- Nanotechnology, Vol. 18, Issue 42
Topologically protected midgap states in complex photonic lattices
journal, January 2013
- Schomerus, Henning
- Optics Letters, Vol. 38, Issue 11
Quantum-interference-enhanced thermoelectricity in single molecules and molecular films
journal, December 2016
- Lambert, Colin J.; Sadeghi, Hatef; Al-Galiby, Qusiy H.
- Comptes Rendus Physique, Vol. 17, Issue 10
Quantum computation and quantum-state engineering driven by dissipation
journal, July 2009
- Verstraete, Frank; Wolf, Michael M.; Ignacio Cirac, J.
- Nature Physics, Vol. 5, Issue 9
Solitons in conducting polymers
journal, July 1988
- Heeger, A. J.; Kivelson, S.; Schrieffer, J. R.
- Reviews of Modern Physics, Vol. 60, Issue 3
Direct measurement of the Zak phase in topological Bloch bands
journal, November 2013
- Atala, Marcos; Aidelsburger, Monika; Barreiro, Julio T.
- Nature Physics, Vol. 9, Issue 12