Breakdown of Bose-Einstein Distribution in Photonic Crystals

Overview

Journal Sci Rep

Specialty Science

Date 2015 Mar 31

PMID 25822135

Citations 4

Authors

Ping-Yuan Lo

Heng-Na Xiong

Wei-Min Zhang

Affiliations

Soon will be listed here.

Abstract

In the last two decades, considerable advances have been made in the investigation of nano-photonics in photonic crystals. Previous theoretical investigations of photon dynamics were carried out at zero temperature. Here, we investigate micro/nano cavity photonics in photonic crystals at finite temperature. Due to photonic-band-gap-induced localized long-lived photon dynamics, we discover that cavity photons in photonic crystals do not obey Bose-Einstein statistical distribution. Within the photonic band gap and in the vicinity of the band edge, cavity photons combine the long-lived non-Markovain dynamics with thermal fluctuations together to form photon states that memorize the initial cavity state information. As a result, Bose-Einstein distribution is completely broken down in these regimes, even if the thermal energy is larger or much larger than the cavity detuning energy. In this investigation, a crossover phenomenon from equilibrium to nonequilibrium steady states is also revealed.

Citing Articles

Quantum thermodynamics of single particle systems.

Ali M, Huang W, Zhang W Sci Rep. 2020; 10(1):13500.

PMID: 32782281 PMC: 7419543. DOI: 10.1038/s41598-020-70450-y.

Spin-polarized magneto-electronic properties in buckled monolayer GaAs.

Chung H, Chiu C, Lin M Sci Rep. 2019; 9(1):2332.

PMID: 30787328 PMC: 6382800. DOI: 10.1038/s41598-018-36516-8.

Non-equilibrium quantum phase transition via entanglement decoherence dynamics.

Lin Y, Yang P, Zhang W Sci Rep. 2016; 6:34804.

PMID: 27713556 PMC: 5054423. DOI: 10.1038/srep34804.

Non-Markovian Complexity in the Quantum-to-Classical Transition.

Xiong H, Lo P, Zhang W, Feng D, Nori F Sci Rep. 2015; 5:13353.

PMID: 26303002 PMC: 4548183. DOI: 10.1038/srep13353.

References

Sayrin C, Dotsenko I, Zhou X, Peaudecerf B, Rybarczyk T, Gleyzes S . Real-time quantum feedback prepares and stabilizes photon number states. Nature. 2011; 477(7362):73-7. DOI: 10.1038/nature10376. View

Li , Lin , Zhang . Spontaneous emission from photonic crystals: full vectorial calculations. Phys Rev Lett. 2000; 84(19):4341-4. DOI: 10.1103/PhysRevLett.84.4341. View

Wang X, Gu B, Wang R, Xu H . Decay kinetic properties of atoms in photonic crystals with absolute gaps. Phys Rev Lett. 2003; 91(11):113904. DOI: 10.1103/PhysRevLett.91.113904. View

Gleyzes S, Kuhr S, Guerlin C, Bernu J, Deleglise S, Hoff U . Quantum jumps of light recording the birth and death of a photon in a cavity. Nature. 2007; 446(7133):297-300. DOI: 10.1038/nature05589. View

Guerlin C, Bernu J, Deleglise S, Sayrin C, Gleyzes S, Kuhr S . Progressive field-state collapse and quantum non-demolition photon counting. Nature. 2007; 448(7156):889-93. DOI: 10.1038/nature06057. View

McPhedran R, Botten L, McOrist J, Asatryan A, de Sterke C, Nicorovici N . Density of states functions for photonic crystals. Phys Rev E Stat Nonlin Soft Matter Phys. 2004; 69(1 Pt 2):016609. DOI: 10.1103/PhysRevE.69.016609. View

Ibanescu M, Reed E, Joannopoulos J . Enhanced photonic band-gap confinement via Van Hove saddle point singularities. Phys Rev Lett. 2006; 96(3):033904. DOI: 10.1103/PhysRevLett.96.033904. View

John , Wang . Quantum optics of localized light in a photonic band gap. Phys Rev B Condens Matter. 1991; 43(16):12772-12789. DOI: 10.1103/physrevb.43.12772. View

Zhang W, Lo P, Xiong H, Tu M, Nori F . General non-Markovian dynamics of open quantum systems. Phys Rev Lett. 2012; 109(17):170402. DOI: 10.1103/PhysRevLett.109.170402. View

10.

Ozbay , Abeyta , Tuttle , Tringides , Biswas , Chan . Measurement of a three-dimensional photonic band gap in a crystal structure made of dielectric rods. Phys Rev B Condens Matter. 1994; 50(3):1945-1948. DOI: 10.1103/physrevb.50.1945. View

11.

John . Strong localization of photons in certain disordered dielectric superlattices. Phys Rev Lett. 1987; 58(23):2486-2489. DOI: 10.1103/PhysRevLett.58.2486. View

12.

Armani D, Kippenberg T, Spillane S, Vahala K . Ultra-high-Q toroid microcavity on a chip. Nature. 2003; 421(6926):925-8. DOI: 10.1038/nature01371. View

13.

Brune M, Bernu J, Guerlin C, Deleglise S, Sayrin C, Gleyzes S . Process tomography of field damping and measurement of Fock state lifetimes by quantum nondemolition photon counting in a cavity. Phys Rev Lett. 2008; 101(24):240402. DOI: 10.1103/PhysRevLett.101.240402. View

14.

Wu M, Lei C, Zhang W, Xiong H . Non-Markovian dynamics of a microcavity coupled to a waveguide in photonic crystals. Opt Express. 2010; 18(17):18407-18. DOI: 10.1364/OE.18.018407. View

15.

John , Wang . Quantum electrodynamics near a photonic band gap: Photon bound states and dressed atoms. Phys Rev Lett. 1990; 64(20):2418-2421. DOI: 10.1103/PhysRevLett.64.2418. View

16.

Yablonovitch , Gmitter , Leung . Photonic band structure: The face-centered-cubic case employing nonspherical atoms. Phys Rev Lett. 1991; 67(17):2295-2298. DOI: 10.1103/PhysRevLett.67.2295. View

17.

Zhu , Yang , Chen , Zheng , Zubairy . Spontaneous radiation and lamb shift in three-dimensional photonic crystals. Phys Rev Lett. 2000; 84(10):2136-9. DOI: 10.1103/PhysRevLett.84.2136. View

18.

de Oliveira FA , Kim , Knight , Buek V . Properties of displaced number states. Phys Rev A. 1990; 41(5):2645-2652. DOI: 10.1103/physreva.41.2645. View

19.

Marian . Squeezed states with thermal noise. I. Photon-number statistics. Phys Rev A. 1993; 47(5):4474-4486. DOI: 10.1103/physreva.47.4474. View

20.

Yablonovitch . Inhibited spontaneous emission in solid-state physics and electronics. Phys Rev Lett. 1987; 58(20):2059-2062. DOI: 10.1103/PhysRevLett.58.2059. View