Effects of interactions on the generalized Hong–Ou–Mandel effect
Abstract
We numerically investigate the influence of interactions on the generalized Hong–Ou–Mandel (HOM) effect for bosonic particles in a (quasi-)one-dimensional set-up with weak harmonic confinement and show results for the cases of N = 2, N = 3 and N = 4 bosons interacting with a beam splitter, whose role is played by a δ-barrier. In particular, we focus on the effect of attractive interactions and compare the results with the repulsive case, as well as with the analytically available results for the non-interacting case (that we use as a benchmark). In addition, we observe a fermionization effect both for growing repulsive and attractive interactions, i.e., the dip in the HOM coincidence count is progressively smeared out, for increasing interaction strengths. The role of input asymmetries is also explored.
- Authors:
-
- Univ. of Massachusetts, Amherst, MA (United States); Carl von Ossietzky Univ., Oldenburg (Germany)
- Univ. of Massachusetts, Amherst, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1233525
- Alternate Identifier(s):
- OSTI ID: 1359743
- Report Number(s):
- LA-UR-15-21323
Journal ID: ISSN 0375-9601; PII: S0375960115003138; TRN: US1600431
- Grant/Contract Number:
- 605096; DMS-1312856; 2010239; INST 184/108-1 FUGG; AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics Letters. A
- Additional Journal Information:
- Journal Volume: 379; Journal Issue: 30-31; Journal ID: ISSN 0375-9601
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; 97 MATHEMATICS AND COMPUTING; bright soliton; Bose-Einstein condensation; quantum superposition
Citation Formats
Gertjerenken, B., and Kevrekidis, P. G. Effects of interactions on the generalized Hong–Ou–Mandel effect. United States: N. p., 2015.
Web. doi:10.1016/j.physleta.2015.04.001.
Gertjerenken, B., & Kevrekidis, P. G. Effects of interactions on the generalized Hong–Ou–Mandel effect. United States. https://doi.org/10.1016/j.physleta.2015.04.001
Gertjerenken, B., and Kevrekidis, P. G. Sat .
"Effects of interactions on the generalized Hong–Ou–Mandel effect". United States. https://doi.org/10.1016/j.physleta.2015.04.001. https://www.osti.gov/servlets/purl/1233525.
@article{osti_1233525,
title = {Effects of interactions on the generalized Hong–Ou–Mandel effect},
author = {Gertjerenken, B. and Kevrekidis, P. G.},
abstractNote = {We numerically investigate the influence of interactions on the generalized Hong–Ou–Mandel (HOM) effect for bosonic particles in a (quasi-)one-dimensional set-up with weak harmonic confinement and show results for the cases of N = 2, N = 3 and N = 4 bosons interacting with a beam splitter, whose role is played by a δ-barrier. In particular, we focus on the effect of attractive interactions and compare the results with the repulsive case, as well as with the analytically available results for the non-interacting case (that we use as a benchmark). In addition, we observe a fermionization effect both for growing repulsive and attractive interactions, i.e., the dip in the HOM coincidence count is progressively smeared out, for increasing interaction strengths. The role of input asymmetries is also explored.},
doi = {10.1016/j.physleta.2015.04.001},
journal = {Physics Letters. A},
number = 30-31,
volume = 379,
place = {United States},
year = {Sat Apr 11 00:00:00 EDT 2015},
month = {Sat Apr 11 00:00:00 EDT 2015}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 6 works
Citation information provided by
Web of Science
Web of Science
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:
Low-density, one-dimensional quantum gases in a split trap
journal, June 2003
- Busch, Th; Huyet, G.
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 36, Issue 12
Quantum interference between two single photons emitted by independently trapped atoms
journal, April 2006
- Beugnon, J.; Jones, M. P. A.; Dingjan, J.
- Nature, Vol. 440, Issue 7085
Generating mesoscopic Bell states via collisions of distinguishable quantum bright solitons
text, January 2013
- Gertjerenken, Bettina; Billam, Thomas P.; Blackley, Caroline L.
- arXiv
Controlled formation and reflection of a bright solitary matter-wave
journal, May 2013
- Marchant, A. L.; Billam, T. P.; Wiles, T. P.
- Nature Communications, Vol. 4, Issue 1
Measurement of subpicosecond time intervals between two photons by interference
journal, November 1987
- Hong, C. K.; Ou, Z. Y.; Mandel, L.
- Physical Review Letters, Vol. 59, Issue 18
New High-Intensity Source of Polarization-Entangled Photon Pairs
journal, December 1995
- Kwiat, Paul G.; Mattle, Klaus; Weinfurter, Harald
- Physical Review Letters, Vol. 75, Issue 24
A scheme for efficient quantum computation with linear optics
journal, January 2001
- Knill, E.; Laflamme, R.; Milburn, G. J.
- Nature, Vol. 409, Issue 6816
Indistinguishable photons from a single-photon device
journal, October 2002
- Santori, Charles; Fattal, David; Vučković, Jelena
- Nature, Vol. 419, Issue 6907
Quantum interference between two single photons emitted by independently trapped atoms
journal, April 2006
- Beugnon, J.; Jones, M. P. A.; Dingjan, J.
- Nature, Vol. 440, Issue 7085
The Hong-Ou-Mandel effect in the context of few-photon scattering
journal, May 2012
- Longo, Paolo; Cole, Jared H.; Busch, Kurt
- Optics Express, Vol. 20, Issue 11
Three-photon Hong-Ou-Mandel interference at a multiport mixer
journal, June 2000
- Campos, Richard A.
- Physical Review A, Vol. 62, Issue 1
Hong-Ou-Mandel interferometer with one and two photon pairs
journal, May 2008
- Cosme, Olavo; Pádua, S.; Bovino, Fabio A.
- Physical Review A, Vol. 77, Issue 5
Macroscopic Hong–Ou–Mandel interference
journal, September 2013
- Sh Iskhakov, T.; Yu Spasibko, K.; Chekhova, M. V.
- New Journal of Physics, Vol. 15, Issue 9
Multi-Photon Interference and Temporal Distinguishability of Photons
journal, December 2007
- Ou, Z. Y.
- International Journal of Modern Physics B, Vol. 21, Issue 30
Generalized Hong–Ou–Mandel experiments with bosons and fermions
journal, July 2005
- Lim, Yuan Liang; Beige, Almut
- New Journal of Physics, Vol. 7
Quantum Properties of a Single Beam Splitter
journal, February 2011
- Laloë, F.; Mullin, W. J.
- Foundations of Physics, Vol. 42, Issue 1
Amplitude control of quantum interference
journal, February 2012
- Mullin, W. J.; Laloë, F.
- Physical Review A, Vol. 85, Issue 2
Proposal for demonstrating the Hong–Ou–Mandel effect with matter waves
journal, April 2014
- Lewis-Swan, R. J.; Kheruntsyan, K. V.
- Nature Communications, Vol. 5, Issue 1
Violation of the Cauchy-Schwarz Inequality with Matter Waves
journal, June 2012
- Kheruntsyan, K. V.; Jaskula, J. -C.; Deuar, P.
- Physical Review Letters, Vol. 108, Issue 26
Knill-Laflamme-Milburn Quantum Computation with Bosonic Atoms
journal, September 2007
- Popescu, Sandu
- Physical Review Letters, Vol. 99, Issue 13
Two-particle quantum interference in tunnel-coupled optical tweezers
journal, June 2014
- Kaufman, A. M.; Lester, B. J.; Reynolds, C. M.
- Science, Vol. 345, Issue 6194
Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
journal, March 2013
- Bocquillon, E.; Freulon, V.; Berroir, J. -M
- Science, Vol. 339, Issue 6123
Accurate Atom Counting in Mesoscopic Ensembles
journal, December 2013
- Hume, D. B.; Stroescu, I.; Joos, M.
- Physical Review Letters, Vol. 111, Issue 25
Quantum simulations with ultracold quantum gases
journal, April 2012
- Bloch, Immanuel; Dalibard, Jean; Nascimbène, Sylvain
- Nature Physics, Vol. 8, Issue 4
A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice
journal, November 2009
- Bakr, Waseem S.; Gillen, Jonathon I.; Peng, Amy
- Nature, Vol. 462, Issue 7269
Double-well atom trap for fluorescence detection at the Heisenberg limit
journal, January 2015
- Stroescu, Ion; Hume, David B.; Oberthaler, Markus K.
- Physical Review A, Vol. 91, Issue 1
Optimal Persistent Currents for Interacting Bosons on a Ring with a Gauge Field
journal, July 2014
- Cominotti, Marco; Rossini, Davide; Rizzi, Matteo
- Physical Review Letters, Vol. 113, Issue 2
Low-density, one-dimensional quantum gases in a split trap
journal, June 2003
- Busch, Th; Huyet, G.
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 36, Issue 12
Quantum statistics of atoms in microstructures
journal, May 1999
- Andersson, Erika; Fontenelle, Márcia T.; Stenholm, Stig
- Physical Review A, Vol. 59, Issue 5
Excitations of attractive 1D bosons: binding versus fermionization
journal, October 2008
- Tempfli, Emmerich; Zöllner, Sascha; Schmelcher, Peter
- New Journal of Physics, Vol. 10, Issue 10
Mean-field analog of the Hong-Ou-Mandel experiment with bright solitons
journal, December 2014
- Sun, Zhi-Yuan; Kevrekidis, Panayotis G.; Krüger, Peter
- Physical Review A, Vol. 90, Issue 6
Collisions of matter-wave solitons
journal, November 2014
- Nguyen, Jason H. V.; Dyke, Paul; Luo, De
- Nature Physics, Vol. 10, Issue 12
Controlled formation and reflection of a bright solitary matter-wave
journal, May 2013
- Marchant, A. L.; Billam, T. P.; Wiles, T. P.
- Nature Communications, Vol. 4, Issue 1
Scattering of atomic dark–bright solitons from narrow impurities
journal, March 2013
- Álvarez, A.; Cuevas, J.; Romero, F. R.
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 46, Issue 6
Entanglement generation by collisions of quantum solitons in the Born approximation
journal, November 2009
- Lewenstein, Maciej; Malomed, Boris A.
- New Journal of Physics, Vol. 11, Issue 11
Collision dynamics and entanglement generation of two initially independent and indistinguishable boson pairs in one-dimensional harmonic confinement
journal, April 2013
- Holdaway, David I. H.; Weiss, Christoph; Gardiner, Simon A.
- Physical Review A, Vol. 87, Issue 4
Generating Mesoscopic Bell States via Collisions of Distinguishable Quantum Bright Solitons
journal, September 2013
- Gertjerenken, Bettina; Billam, Thomas P.; Blackley, Caroline L.
- Physical Review Letters, Vol. 111, Issue 10
Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
journal, May 1963
- Lieb, Elliott H.; Liniger, Werner
- Physical Review, Vol. 130, Issue 4
Study of Exactly Soluble One‐Dimensional N ‐Body Problems
journal, May 1964
- McGuire, J. B.
- Journal of Mathematical Physics, Vol. 5, Issue 5
Observation of Feshbach resonances in a Bose–Einstein condensate
journal, March 1998
- Inouye, S.; Andrews, M. R.; Stenger, J.
- Nature, Vol. 392, Issue 6672
Observation of Optically Induced Feshbach Resonances in Collisions of Cold Atoms
journal, November 2000
- Fatemi, F. K.; Jones, K. M.; Lett, P. D.
- Physical Review Letters, Vol. 85, Issue 21
Works referencing / citing this record:
Superballistic center-of-mass motion in one-dimensional attractive Bose gases: Decoherence-induced Gaussian random walks in velocity space
journal, January 2016
- Weiss, Christoph; Cornish, Simon L.; Gardiner, Simon A.
- Physical Review A, Vol. 93, Issue 1
Progress towards quantum-enhanced interferometry with harmonically trapped quantum matter-wave bright solitons
journal, November 2016
- Gertjerenken, Bettina; Wiles, Timothy P.; Weiss, Christoph
- Physical Review A, Vol. 94, Issue 5