Dynamical Control of Order in a Cavity-BEC System

Cosme, Jayson G.; Georges, Christoph; Hemmerich, Andreas; Mathey, Ludwig

doi:10.1103/physrevlett.121.153001

Cited by 35 publications

(40 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here, the long-range interactions are electromagnetic in origin and mediated by optical cavity modes that can extend over the entire gas. On going experiments [92][93][94][95][96][97], many with BECs, have demonstrated symmetry breaking and self-organization in the atomic density distribution that is described by the HMF model [91,[98][99][100][101].…”

Section: Introductionmentioning

confidence: 99%

Balancing long-range interactions and quantum pressure: Solitons in the Hamiltonian mean-field model

Plestid

O’Dell

2019

Phys. Rev. E

View full text Add to dashboard Cite

The Hamiltonian Mean Field (HMF) model describes particles on a ring interacting via a cosine interaction, or equivalently, rotors coupled by infinite-range XY interactions. Conceived as a generic statistical mechanical model for long-range interactions such as gravity (of which the cosine is the first Fourier component), it has recently been used to account for self-organization in experiments on cold atoms with long-range optically mediated interactions. The significance of the HMF model lies in its ability to capture the universal effects of long-range interactions and yet be exactly solvable in the canonical ensemble. In this work we consider the quantum version of the HMF model in 1D and provide a classification of all possible stationary solutions of its generalized Gross-Pitaevskii equation (GGPE) which is both nonlinear and nonlocal. The exact solutions are Mathieu functions that obey a nonlinear relation between the wavefunction and the depth of the meanfield potential, and we identify them as bright solitons. Using a Galilean transformation these solutions can be boosted to finite velocity and are increasingly localized as the meanfield potential becomes deeper. In contrast to the usual local GPE, the HMF case features a tower of solitons, each with a different number of nodes. Our results suggest that long-range interactions support solitary waves in a novel manner relative to the short-range case.

show abstract

Section: Introductionmentioning

confidence: 99%

Balancing long-range interactions and quantum pressure: Solitons in the Hamiltonian mean-field model

Plestid

O’Dell

2019

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

“…As suggested by recent theoretical work [11], the emergence of a competing CDW phase in LESCO x finds an analog for a Bose-Einstein condensate (BEC) placed inside a high finesse optical cavity and pumped sideways by an optical standing wave. In this system intracavity photons provide an infinite range retarded interaction among the atoms.…”

mentioning

confidence: 98%

“…Such calculations are expected to be numerically far more expensive and require further efforts beyond the scope of this work. Finally, we note, that a high-frequency Magnus expansion [31][32][33][34][35] shows that the effect of modulation can be understood in terms of a renormalization of the effective detuning δ eff and the dc pump strength ε p such that the former is increased and the latter is decreased [11]. Note that, different from renormalized tunneling in conventional lattice shaking, the renormalization here concerns terms of the Hamiltonian with many-body character.…”

mentioning

confidence: 99%

Light-Induced Coherence in an Atom-Cavity System

et al. 2018

Self Cite

View full text Add to dashboard Cite

We demonstrate light-induced formation of coherence in a cold atomic gas system that utilizes the suppression of a competing density wave (DW) order. The condensed atoms are placed in an optical cavity and pumped by an external optical standing wave, which induces a long-range interaction mediated by photon scattering and a resulting DW order above a critical pump strength. We show that light-induced temporal modulation of the pump wave can suppress this DW order and restore coherence. This establishes a foundational principle of dynamical control of competing orders analogous to a hypothesized mechanism for light-induced superconductivity in high-Tc cuprates.

show abstract

“…A similar phenomenon of dynamical switching between symmetry broken states has been predicted in Refs. [22,24,28,56,62,63]. Motivated by the dynamical switching inferred from the dynamics of the relative time phase, we now proceed to identify the type of symmetry broken phase associated with the TC order by calculating the single-particle density (SPD) profiles of the atomic ensemble in the MF limit:…”

Section: A Dynamical Bond-density Wave Phasementioning

confidence: 99%

Time crystals in a shaken atom-cavity system

2019

Self Cite

View full text Add to dashboard Cite

We demonstrate the emergence of a time crystal of atoms in a high-finesse optical cavity driven by a phasemodulated transverse pump field, resulting in a shaken lattice. This shaken system exhibits macroscopic oscillations in the number of cavity photons and order parameters at noninteger multiples of the driving period, which signals the appearance of an incommensurate time crystal. The subharmonic oscillatory motion corresponds to dynamical switching between symmetry-broken states, which are nonequilibrium bond ordered density wave states. Employing a semiclassical phase-space representation for the driven-dissipative quantum dynamics, we confirm the rigidity and persistence of the time crystalline phase. We identify experimentally relevant parameter regimes for which the time crystal phase is long lived, and map out the dynamical phase diagram. We compare and contrast the incommensurate time crystal with the commensurate Dicke time crystal in the amplitude-modulated case. arXiv:1909.00266v2 [cond-mat.quant-gas]

show abstract

Dynamical Control of Order in a Cavity-BEC System

Cited by 35 publications

References 36 publications

Balancing long-range interactions and quantum pressure: Solitons in the Hamiltonian mean-field model

Balancing long-range interactions and quantum pressure: Solitons in the Hamiltonian mean-field model

Light-Induced Coherence in an Atom-Cavity System

Time crystals in a shaken atom-cavity system

Contact Info

Product

Resources

About