Hybrid Boltzmann–Gross-Pitaevskii theory of Bose-Einstein condensation and superfluidity in open driven-dissipative systems

Solnyshkov, D. D.; Terças, Hugo; Dini, K.; Malpuech, Guillaume

doi:10.1103/physreva.89.033626

Cited by 53 publications

(50 citation statements)

References 53 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The spectrum of elementary excitations for m = 0 is well known [7,27,[38][39][40]. For m = 0, the dispersion relation given by the BdG equations is:…”

mentioning

confidence: 99%

Stability of persistent currents in open dissipative quantum fluids

Fraser

Yakimenko

et al. 2015

Phys. Rev. B

View full text Add to dashboard Cite

The phenomenon of stable persistent currents is central to the studies of superfluidity in a range of physical systems. While all of the previous theoretical studies of superfluid flows in annular geometries concentrated on conservative systems, here we extend the stability analysis of persistent currents to open-dissipative exciton-polariton superfluids. By considering an exciton-polariton condensate in an optically-induced annular trap, we determine stability conditions for an initially imposed flow with a non-zero orbital angular momentum. We show, theoretically and numerically, that the system can sustain metastable persistent currents in a large parameter region, and describe scenarios of the supercurrent decay due to the dynamical instability.

show abstract

“…The spectrum of elementary excitations for m = 0 is well known [7,27,[38][39][40]. For m = 0, the dispersion relation given by the BdG equations is:…”

mentioning

confidence: 99%

Stability of persistent currents in open dissipative quantum fluids

Fraser

Yakimenko

et al. 2015

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…However, the energy relaxation term proportional to Λ describes energy-dependent decay acting on these particles. The resulting spectral density |ψ(E)| 2 for the polariton state of energy E can be obtained as: |ψ(E)| 2 ∝ χ/Γ, where Γ is the total decay rate, composed of energy-independent Γ 0 (ground state lifetime) and energy-dependent relaxation Γ Λ = ΛE [51], giving:…”

mentioning

confidence: 99%

“…One expected peculiarity of the zigzag chain with a local pump is that the polarization of the localized mode where the condensation occurs is entirely fixed by the chain topology and the position of the pump, and does not rely on a symmetry breaking process. To demonstrate this predicted feature, we model polariton condensation using the Hybrid Boltzmann-Gross Pitaevskii equation which includes relaxation mechanisms [32,51,52]. For a thermal excitonic reservoir, the model can be reduced to:…”

mentioning

confidence: 99%

Kibble-Zurek Mechanism in Topologically Nontrivial Zigzag Chains of Polariton Micropillars

2016

Self Cite

View full text Add to dashboard Cite

We consider a zigzag chain of coupled micropillar cavities, taking into account the polarization of polariton states. We show that the TE-TM splitting of photonic cavity modes yields topologically protected polariton edge states. During the strongly non-adiabatic process of polariton condensation, the Kibble-Zurek mechanism leads to a random choice of polarization, equivalent to dimerization of polymer chains. We show that dark-bright solitons appear as domain walls between polarization domains, analogous to the Su-Schrieffer-Heeger solitons in polymers. The soliton density scales as a power law with respect to the quenching parameter.As initially shown by Kibble [1] for the expansion and cooling of the early Universe, and then for liquid helium by Zurek [2], a system undergoing a second-order phase transition on a finite timescale develops domains with independent order parameters. The Kibble-Zurek mechanism (KZM) allows predicting the typical size of the domains and, therefore, the densities of the topological defects on their boundaries. Their scaling as a function of the quench rate is given by a power law, with the critical exponent of the transition being determined by its universality class [3].A very relevant system to study the KZM are the quantum fluids such as atomic Bose-Einstein condensates (BECs) formed by cooling. Indeed, quantum fluids support topological defects [4,5], their most famous example being a quantum vortex, which, contrary to a classical vortex, like a tornado, cannot disappear "by itself", via a continuous transformation. This property is due to the difference in vortex and ground state topologies, which is guaranteed by the irrotational nature of the fluid described by a complex wavefunction [6]. The nonadiabatic cooling of such a fluid allows the development of topological defects obeying the KZM scaling, as confirmed by experiments [7] and also predicted for multicomponent BECs [8,9]. However, solitons in 1D and half-vortices in 2D spinor BECs [4,5,10] are only quasitopological defects. Indeed, a dark soliton transforms into a grey and eventually disappears by simple acceleration, and a half-vortex can be unwound by a divergent magnetic field. Another system of interest to study the KZM are cavity exciton-polariton quantum fluids [11,12]. Because of the finite polariton lifetime, polariton condensation can be an out-of-equilibrium process driven by the condensation kinetics rather than by thermodynamics [12,13]. As previously pointed out [14,15], the establishment of a steady state by non-resonant pumping in an initially empty system cannot be an adiabatic process and is therefore equivalent to a quenching of the parameters of the system, leading to the appearance of topological defects.Another class of systems which possess topologically protected states are periodic lattices with topologically non-trivial band structures characterized by non-zero Chern numbers, or Zak phase, depending on their dimensionality. The most well-known examples of such systems are the topological insu...

show abstract

“…32 The final term in Eq. (1) accounts for energy relaxation processes of condensed polaritons <½wðx; tÞ ¼ Àð þ 0 jwðx; tÞj 2 ÞðÊ LP À lðx; tÞÞwðx; tÞ; (4) where and 0 determine the strength of energy relaxation 33,[35][36][37] and l(x, t) is a local effective chemical potential that conserves the polariton population. 23,33 The terms cause the relaxation of any kinetic energy of polaritons and allow the population of lower-energy states trapped between the pump-induced potentials.…”

mentioning

confidence: 99%

Spin selective filtering of polariton condensate flow

Gao

Antón

Liew

et al. 2015

Applied Physics Letters

View full text Add to dashboard Cite

Spin-selective spatial filtering of propagating polariton condensates, using a controllable spin-dependent gating barrier, in a one-dimensional semiconductor microcavity ridge waveguide is reported. A nonresonant laser beam provides the source of propagating polaritons, while a second circularly polarized weak beam imprints a spin dependent potential barrier, which gates the polariton flow and generates polariton spin currents. A complete spin-based control over the blocked and transmitted polaritons is obtained by varying the gate polarization. The generation of spin currents from the passage of electrons through ferromagnets is an important building-block for spintronic devices. For example, magnetic random access memory has developed from the spin valve concept, in which the current through a pair of ferromagnets is strongly attenuated when the magnets have opposite orientations. 1 This principle has a striking analogy in optics, where the attenuation of light passing through crossed polarizes also leads to information processing devices such as spatial light modulators based on liquid crystals. 2 Indeed analogies between spintronics and optics led to the emerging field of spinoptronics, 3 aiming to exploit a hybridization of the different fields.This hybridization is well illustrated by semiconductor microcavities in the strong coupling regime, which have become a promising basis for all-optical devices and circuits. [4][5][6][7][8] The strong coupling regime gives rise to excitonpolaritons (for simplicity, polaritons), whose light mass and integer spin facilitates condensation at elevated temperatures. 9,10 The excitonic fraction leads to strong carrier-carrier interactions 11 and sensitivity to gating electromagnetic fields. 12 At the same time, the photonic fraction allows the spin state of the polariton to be directly imprinted onto the polarization of the emitted light. An advantage over conventional spintronic devices is that, being neutral particles, polaritons do not experience strong dephasing due to Coulomb scattering and the coherent propagation of spin currents can be achieved over hundreds of microns. 13 Optically controlled carrier-carrier interactions in strongly coupled semiconductor microcavities have been shown to be a highly effective tool in the engineering of polaritons' energy landscapes, 14 for both the study of polariton condensate phenomena [15][16][17][18] and the realization of nascent polariton devices. [19][20][21][22][23][24] The interaction strength is spin dependent; 25-27 excitons with parallel spins experience a repulsive force, while the interaction between excitons with anti-parallel spin is weaker and can be attractive in nature. 28 In this work, we show that these anisotropic interactions allow the construction of a photonic analogue of current spin polarization as in a ferromagnet. Namely, we demonstrate spin polarization control of a polariton condensate signal using an optical gate in a high-finesse microcavity ridge. A schematic of the device is shown in Fig. 1(a)

show abstract

Hybrid Boltzmann–Gross-Pitaevskii theory of Bose-Einstein condensation and superfluidity in open driven-dissipative systems

Cited by 53 publications

References 53 publications

Stability of persistent currents in open dissipative quantum fluids

Stability of persistent currents in open dissipative quantum fluids

Kibble-Zurek Mechanism in Topologically Nontrivial Zigzag Chains of Polariton Micropillars

Spin selective filtering of polariton condensate flow

Contact Info

Product

Resources

About