Coherent feedback ground-state cooling for a mechanical resonator assisted by an atomic ensemble

Mansouri, Daryoosh; Rezaie, Behrooz; N, Abolfazl Ranjbar; Daeichian, Abolghasem

doi:10.1140/epjp/s13360-022-03227-z

Cited by 7 publications

(6 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The capability of manipulating quantum systems is whatquantum technology and quantum information are founded on [1,2]. Such a capability can only beprovidedby the development ofcontrol theories in the quantum regime [3,4].Not only open loop control laws but also the closed ones with different structures, such as quantum (measurement-free) [5,6], Markovian, and Bayesianfeedback, have been presented to cope with the loss of information due to decoherence and noise [7,8]. In orther to control the quantum system, an exogenous field is utilized to manipulate the system [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Asymmetric Markovian control of quantum entanglement

Daeichian¹,

Mirzaee²

2023

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

Expanding utilization of entangled states in quantum technologies, such as quantum information, is a motivating force of developing new methods for enhancement and stabilization of quantum entanglement. This study focuses on using asymmetric laws to control the entangled states of a quantum system consisting of two atoms, each confined in a cavity. The effect of asymmetry laws has been explored in three different scenarios. First, the effect of an asymmetric drive Hamiltonian on a closed quantum system, in which neither the cavity nor the atoms exhibit losses, is studied. Here, the eigenvalues and eigenstates of the total system Hamiltonian have been obtained and the time evolution of the system state has been derived. Also, the fidelity of the system in terms of the asymmetric drive Hamiltonian has been derived analytically. In the second scenario, the stationary solution of an open quantum system, which includes losses in a master equation approach, is derived and the concurrence is studied in terms of the asymmetric drive Hamiltonian and coupling constant. The last scenario is devoted to applying feedback rules to an open quantum system where some heuristic feedback control laws have been proposed. The simulation results show the concurrence boosting in a larger range of driving field and feedback strength when applying the introduced feedback rules.

show abstract

Section: Introductionmentioning

confidence: 99%

Asymmetric Markovian control of quantum entanglement

Daeichian¹,

Mirzaee²

2023

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

show abstract

“…In [51], the GSC has been achieved in resolved sideband regime through a coherent feedback scheme. In [52,53] it has been shown that cooling the MR near the zero-energy level is accessible by combining the assisted cooling and coherent feedback methods. The added coherent feedback loop to the double cavity system [52] and the hybrid optomechanical cavity-atomic ensemble [53] enhances the effects of the Anti-Stokes processes and a larger cooling rate is accessible.…”

Section: Introductionmentioning

confidence: 99%

“…In [52,53] it has been shown that cooling the MR near the zero-energy level is accessible by combining the assisted cooling and coherent feedback methods. The added coherent feedback loop to the double cavity system [52] and the hybrid optomechanical cavity-atomic ensemble [53] enhances the effects of the Anti-Stokes processes and a larger cooling rate is accessible. Feedback schemes are also used to improve the cooling performance of the sympathetic cooling method.…”

Section: Introductionmentioning

confidence: 99%

“…• Compared with coherent feedback schemes [52,53], utilizing two couplings results in more effective suppression of the Stokes processes. Consequently, a larger net cooling rate and a smaller cooling limit are achievable.…”

Section: Introductionmentioning

confidence: 99%

“…This can be better understood from the energy level diagram depicted in figure 3. It is shown that in the hybrid quantum system, due to the presence of the couplings to auxiliary systems, destructive quantum interference occurs between the excitation pathways | | ñ ñ 1 2 , that since more interference channels are available in the hybrid system including both auxiliary systems, the proposed scheme can suppress the heating-related transitions more effectively compared with an optomechanical system only coupled to a cavity [52] or an atomic ensemble [53]. Consequently, the proposed method can improve the cooling capability of the hybrid system.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Mechanical resonator cooling to the ground-state by coherent feedback in a double cavity setup including an atomic ensemble

Mansouri,

Rezaie,

Ranjbar N

et al. 2023

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

This study concerns the cooling of a mechanical resonator to the ground-state in the unresolved sideband regime theoretically. To this aim, the optical modes of an optomechanical cavity are coupled with an atomic ensemble and an auxiliary cavity. Then, a coherent feedback loop is applied via a controllable beam splitter, which reflects a fraction of the output field to the input mirror of the optomechanical cavity. Considering the proposed feedback scheme, the optical response of the cavity is analyzed for weak optomechanical coupling to obtain the rate equations. Utilizing the electromagnetically-induced-transparency-like shape of the fluctuation spectrum of the optical force, optimal cooling conditions are calculated to place the peaks and dip of the spectrum at the desired frequencies to maximize the difference between cooling and heating rates. It is shown that the coherent feedback loop enhances the cooling effect while the heating rate is not affected. Moreover, by utilizing two coupled auxiliary systems, the effect of heating transitions is better suppressed compared to the case with one auxiliary system. As a result, not only lower limits for cooling but also larger values of net cooling rate are achieved. The results show that the proposed feedback cooling scheme significantly improves the cooling capability of the hybrid system, and the mechanical resonator can be cooled near the quantum limit. Furthermore, it is shown that the proposed method performs well in a wide range of system parameters.

show abstract

Optomechanical cavity-atom interaction through field coupling in a composed quantum system: a filtering approach

Mansouri

Rezaie

et al. 2023

Appl. Phys. B

View full text Add to dashboard Cite

Coherent feedback ground-state cooling for a mechanical resonator assisted by an atomic ensemble

Cited by 7 publications

References 47 publications

Asymmetric Markovian control of quantum entanglement

Asymmetric Markovian control of quantum entanglement

Mechanical resonator cooling to the ground-state by coherent feedback in a double cavity setup including an atomic ensemble

Optomechanical cavity-atom interaction through field coupling in a composed quantum system: a filtering approach

Contact Info

Product

Resources

About