Complete Quantum Coherent Control of Ultracold Molecular Collisions

Devolder, Adrien; Brumer, Paul; Tscherbul, Timur V.

doi:10.1103/physrevlett.126.153403

Cited by 32 publications

(18 citation statements)

References 128 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Implementation of high fidelity quantum coherent control is a top priority in quantum information processing (QIP) [1][2][3][4][5][6][7][8][9][10]. Many works [11][12][13], which design different kinds of pulse shapes, have been devoted to ensuring a remarkable quantum computing performance.…”

Section: Introductionmentioning

confidence: 99%

Composite pulses for high fidelity population transfer in three-level systems

et al. 2022

View full text Add to dashboard Cite

In this work, we propose a composite pulses scheme by modulating phases to achieve high fidelity population transfer in three-level systems. To circumvent the obstacle that not enough variables are exploited to eliminate the systematic errors in the transition probability, we put forward a cost function to find the optimal value. The cost function is independently constructed either in ensuring an accurate population of the target state, or in suppressing the population of the leakage state, or both of them. The results demonstrate that population transfer is implemented with high fidelity even when existing the deviations in the coupling coefficients. Furthermore, our composite pulses scheme can be extensible to arbitrarily long pulse sequences. As an example, we employ the composite pulses sequence for achieving the three-atom singlet state in an atom-cavity system with ultrahigh fidelity. The final singlet state shows robustness against deviations and is not seriously affected by waveform distortions. Also, the singlet state maintains a high fidelity under the decoherence environment.

show abstract

Section: Introductionmentioning

confidence: 99%

Composite pulses for high fidelity population transfer in three-level systems

et al. 2022

View full text Add to dashboard Cite

show abstract

“…Ultracold molecular collisions offer a rich playground for exploring and controlling fundamental quantum phenomena in ultracold dilute molecular gases [1]. These fascinating phenomena range from resonant tunneling [2], external field-induced reactive scattering resonances [3,4] and long-lived reaction complex formation [5,6] to quantum coherent control [7], many-body entanglement [8], and quantum chaos [9]. In addition, the strong anisotropic dipole-dipole interactions of cold polar molecules are highly tunable by external electric and microwave fields, enabling applications in quantum information processing [10][11][12], quantum metrology [8] and quantum simulation [13,14].…”

Section: Introductionmentioning

confidence: 99%

Total angular momentum representation for state-to-state quantum scattering of cold molecules in a magnetic field

Koyu,

Hermsmeier,

Tscherbul

2021

Preprint

Self Cite

View full text Add to dashboard Cite

We show that the integral cross sections for state-to-state quantum scattering of cold molecules in a magnetic field can be efficiently computed using the total angular momentum representation despite the presence of unphysical Zeeman states in the eigenspectrum of the asymptotic Hamiltonian. We demonstrate that the unphysical states arise due to the incompleteness of the space-fixed total angular momentum basis caused by using a fixed cutoff value J max for the total angular momentum of the collision complex J. As a result, certain orbital angular momentum (l) basis states lack the full range of J values required by the angular momentum addition rules, resulting in the appearance of unphysical states. We find that by augmenting the basis with a full range of J-states for every l, it is possible to completely eliminate the unphysical states from quantum scattering calculations on molecular collisions in external fields. To illustrate the procedure, we use the augmented basis sets to calculate the state-to-state cross sections for rotational and spin relaxation in cold collisions of 40 CaH(X 2 Σ + , v = 0, N = 1, M N = 1, M S = 1/2) molecules with 4 He atoms in a magnetic field. We find excellent agreement with benchmark calculations, validating our proposed procedure. We find that N -conserving spin relaxation to the lowest-energy Zeeman state of the N = 1 manifold, |11 1 2 → |1 − 1 − 1 2 is nearly completely suppressed due to the lack of spin-rotation coupling between the fully spin-stretched Zeeman states. Our results demonstrate the possibility of rigorous, computationally efficient, and unphysical state-free quantum scattering calculations on cold molecular collisions in an external magnetic field.

show abstract

“…Recent theory and experiments [16][17][18][19][20] demonstrate that inelastic collisions in an ultracold gas of molecular mixture can be effectively tuned by applying a static magnetic field. Furthermore, enhancing the rate of specifically chosen reaction channels stimulated the development of quantum control schemes such as optimal control and coherent control [12,21].…”

mentioning

confidence: 99%

Selective quantum Zeno effect of ultracold atom-molecule scattering in dynamic magnetic fields

Yang,

Li,

Zhang

et al. 2021

Preprint

View full text Add to dashboard Cite

We demonstrated that final states of ultracold scattering between atom and molecule can be selectively produced using dynamic magnetic fields of multiple frequencies. The mechanism of the dynamic magnetic field control is based on a generalized quantum Zeno effect for the selected scattering channels. In particular, we use an atom-molecule spin flip scattering to show that the transition to the selected final spin projection of the molecule in the inelastic scattering can be suppressed by dynamic modulation of coupling between the Floquet engineered initial and final states.

show abstract

Complete Quantum Coherent Control of Ultracold Molecular Collisions

Cited by 32 publications

References 128 publications

Composite pulses for high fidelity population transfer in three-level systems

Composite pulses for high fidelity population transfer in three-level systems

Total angular momentum representation for state-to-state quantum scattering of cold molecules in a magnetic field

Selective quantum Zeno effect of ultracold atom-molecule scattering in dynamic magnetic fields

Contact Info

Product

Resources

About