Corrections to the Optomechanical Hamiltonian from Quadratic Fluctuations of a Moving Mirror - INSPIRE

DataBETA

Corrections to the Optomechanical Hamiltonian from Quadratic Fluctuations of a Moving Mirror

Salvatore Butera

Dec 10, 2024

6 pages

e-Print:

2412.07552 [quant-ph]

View in:

ADS Abstract Service

reference search0 citations

Citations per year

0 Citations

Abstract: (arXiv)

We extend the theory of the radiation pressure to include quadratic fluctuations in the position of a moving mirror. This enables the introduction of a generalized radiation pressure operator that captures higher-order effects in the mirror-field coupling. For mechanical resonators with frequencies comparable to the fundamental cavity frequency, the resulting corrections to the optomechanical Hamiltonian are quadratic in the standard radiation pressure coupling. These corrections are expected to play a significant role in the strong coupling regime of optomechanics, electromechanics, and superconducting circuit analogs.

Note:

6 pages, one figure. Extended references and general improvements. Comments are welcome

References(77)

Figures(1)

[1]

Cavity Optomechanics

Markus Aspelmeyer
(
- Vienna U.
)
,
Tobias J. Kippenberg
(
- Ecole Polytechnique, Lausanne
)
,
Florian Marquardt
(
- Erlangen - Nuremberg U. and
- Unlisted, DE
)

- Rev.Mod.Phys. 86 (2014) 1391
•
e-Print:
- 1303.0733
•
DOI:
- 10.1103/RevModPhys.86.1391

[2]

L. Biermann

- Z.Astrophys. 29 (1951) 274

[3]

Trapping of Atoms by Resonance Radiation Pressure

A. Ashkin
(
- AT-T Bell Labs, Holmdel
)

- Phys.Rev.Lett. 40 (1978) 12, 729-732
•
DOI:
- 10.1103/PhysRevLett.40.729

[4]

Observation of a single-beam gradient force optical trap for dielectric particles

A. Ashkin
(
- AT-T Bell Labs, Holmdel
)
,
J.M. Dziedzic
(
- AT-T Bell Labs, Holmdel
)
,
J.E. Bjorkholm
(
- AT-T Bell Labs, Holmdel
)
,
Steven Chu
(
- AT-T Bell Labs, Holmdel
)

- Opt.Lett. 11 (1986) 5, 288
•
DOI:
- 10.1364/OL.11.000288

[5]

A. Ashkin
,
J.M. Dziedzic

- Science 235 (1987) 1517

[6]

S. Chu
,
C. Wieman

- J.Opt.Soc.Am.B 6 (1989) 2020

[7]

Laser cooling of a nanomechanical oscillator into its quantum ground state

et al.

- Nature 478 (2011) 7367, 89-92
•
DOI:
- 10.1038/nature10461

[8]

Cooling of a levitated nanoparticle to the motional quantum ground state

et al.

- Science 367 (2020) 6480, 892-895
•
DOI:
- 10.1126/science.aba3993

[9]

LIGO: The Laser interferometer gravitational wave observatory

Alex Abramovici
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
William E. Althouse
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
Ronald W.P. Drever
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
Yekta Gursel
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
Seiji Kawamura
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)

et al.

- Science 256 (1992) 325-333
•
DOI:
- 10.1126/science.256.5055.325

[10]

Virgo: a laser interferometer to detect gravitational waves

VIRGO

Collaboration

•

T. Accadia
(
- Annecy, LAPP
)

et al.

- JINST 7 (2012) P03012
•
DOI:
- 10.1088/1748-0221/7/03/P03012

[11]

Quantum-Mechanical Radiation-Pressure Fluctuations in an Interferometer

Carlton Caves
(
- Caltech
)

- Phys.Rev.Lett. 45 (1980) 2, 75-79
•
DOI:
- 10.1103/PhysRevLett.45.75

[12]

Quantum Limit on the Michelson Interferometer Used for Gravitational Wave Detection

R. Loudon
(
- Essex U.
)

- Phys.Rev.Lett. 47 (1981) 815-818
•
DOI:
- 10.1103/PhysRevLett.47.815

[13]

P. Meystre
,
E.M. Wright
,
J.D. McCullen
,
E. Vignes

- J.Opt.Soc.Am.B 2 (1985) 1830

[14]

Quantum limits in interferometric detection of gravitational radiation

- Phys.Rev.A 47 (1993) 4, 3173-3189
•
DOI:
- 10.1103/PhysRevA.47.3173

[15]

Quantum ground state and single-phonon control of a mechanical resonator

et al.

- Nature 464 (2010) 7289, 697-703
•
DOI:
- 10.1038/nature08967

[16]

Sideband cooling of micromechanical motion to the quantum ground state

et al.

- Nature 475 (2011) 7356, 359-363
•
DOI:
- 10.1038/nature10261

[17]

A.H. Safavi-Naeini
,
J. Chan
,
J.T. Hill
,
T.P.M. Alegre
,
A. Krause

et al.

- Phys.Rev.Lett. 108 (2012) 033602

[18]

Observation of a kilogram-scale oscillator near its quantum ground state

LIGO Scientific

Collaboration

•

B. Abbott
(
- LIGO Lab., Caltech
)

et al.

- New J.Phys. 11 (2009) 073032
•
DOI:
- 10.1088/1367-2630/11/7/073032

[19]

Optomechanics for quantum technologies

Shabir Barzanjeh
(
- Calgary U.
)
,
André Xuereb
(
- Malta U.
)
,
Simon Gröblacher
(
- Delft Tech. U.
)
,
Mauro Paternostro
(
- Queen's U., Belfast
)
,
Cindy A. Regal
(
- JILA, Boulder and
- U. Colorado, Boulder
)

et al.

- Nature Phys. 18 (2022) 1, 15-24
•
e-Print:
- 2111.14715
•
DOI:
- 10.1038/s41567-021-01402-0

[20]

A. Stange
,
D. Campbell
,
D. Bishop

- Phys.Today 74 (2021) 42

[21]

F. Pistolesi
,
A.N. Cleland
,
A. Bachtold

- Phys.Rev.X 11 (2021) 031027

[22]

A. Navarathna
,
W.P. Bowen

- Nature Phys. 18 (2022) 736

[23]

I. Kladaric̀, M. Drimmer

Y. Yang

- Science 386 (2024) 783

[24]

Optomechanical Quantum Information Processing with Photons and Phonons

K. Stannigel
(
- Innsbruck U., Quant. Opt. and Info. and
- Innsbruck U.
)
,
P. Komar
(
- Harvard U.
)
,
S.J. M. Habraken
(
- Innsbruck U., Quant. Opt. and Info.
)
,
S.D. Bennett
(
- Harvard U.
)
,
M.D. Lukin
(
- Harvard U.
)

et al.

- Phys.Rev.Lett. 109 (2012) 1, 013603
•
DOI:
- 10.1103/PhysRevLett.109.013603

[25]

Quantum thermodynamic cycles and quantum heat engines

- Phys.Rev.E 76 (2007) 3, 031105
•
DOI:
- 10.1103/PhysRevE.76.031105

1-25 of 77
1
2
3
4
25 / page