Geometric atom interferometry with shortcuts to adiabaticity

Du, Yan-Xiong; Yue, Xian-Xian; Liang, Zhen-Tao; Li, Jiazhen; Zhu, Shi-Liang

doi:10.1103/physreva.95.043608

Cited by 11 publications

(13 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The effective Hamiltonian H eff has been researched for speeding up population transfer of STIRAP by counterdiabatic driving in Refs. [56,66,67], and the corresponding experimental realization has also been done in a cold-atom system [48]. With the aid of this effective two-level Hamiltonian, now we construct speeded-up adiabatic USQG.…”

Section: Ii14 Numerical Demonstrationmentioning

confidence: 99%

“…(14) has been reported recently with the methods of STIRAP and counterdiabatic-driving STA in Ref. [67]. The study [67] mainly aims at geometric atom interferometry, so just "population dynamics" (population transfer between two lower-energy states) is discussed in details, which may be inadequate for the construction of quantum gates.…”

Section: Ii23 Speeded-up Adiabatic Usqgmentioning

confidence: 99%

See 1 more Smart Citation

Universal speeded-up adiabatic geometric quantum computation in three-level systems via counterdiabatic driving

2019

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

Universal speeded-up adiabatic geometric quantum computation (SAGQC) is studied in Λ-type three-level system with different coupling cases, i.e., time-dependent detuning, large detuning and one-photon resonance couplings, respectively. In these cases, the counterdiabatic driving method is used to speed up the universal quantum computation. These schemes in Λ-type three-level system are feasible in experiment because additional unaccessible ground-state coupling is not needed. Only the shapes and phases of the initial adiabatic classical-field pulse are modified with the aid of effective two-level systems based on the counterdiabatic driving. The speed and robustness against decay of these schemes are discussed and compared. In addition, our work enriches the study of the speeded-up geometric computation in Λ-type three-level system and can be applied to experimental platforms with different coupling features.

show abstract

Section: Ii14 Numerical Demonstrationmentioning

confidence: 99%

Section: Ii23 Speeded-up Adiabatic Usqgmentioning

confidence: 99%

Universal speeded-up adiabatic geometric quantum computation in three-level systems via counterdiabatic driving

2019

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

“…Population transfer of quantum states plays a fundamentally important role in a variety of fields of physics [1][2][3][4][5]. For this reason, finding an efficient transferring mechanism is an important issue in atomic physics.…”

Section: Introductionmentioning

confidence: 99%

“…For this reason, finding an efficient transferring mechanism is an important issue in atomic physics. Frequencychirped laser [1,[6][7][8], Stimulated Raman Adiabatic Passage (STIRAP) [9,10], and Landau-Zener technique [1,12,13] are prominent approaches in stable population transfer which have many experimental and theoretical applications in quantum optics.…”

Section: Introductionmentioning

confidence: 99%

Full Quantum Analysis of Complete Population Transfer Using Frequency Boost

Ahmadinouri

Hosseini

Sarreshtedari

2020

IJOP

View full text Add to dashboard Cite

In this paper, we have proposed and demonstrated a new method of atomic population transfer. The transition dynamic of a two-level system is studied in a full quantum description of the Jaynes-Cummings model. Solving the timedependent Schrödinger equation, we have investigated the transition probabilities numerically and analytically by using a sudden boost of the laser frequency. The results show that complete population transfer can be achieved by adjusting the time of the frequency boost.

show abstract

“…Introduction.-Counter-diabatic driving (CD) is a method to guide the system along a given adiabatic trajectory [1][2][3][4][5][6][7][8] and to reproduce the target state expected from quantum adiabatic protocols in finite time, hence realizing Shortcuts To Adiabaticity (STA) [1,2]. With the correct CD, one can speedup a desired quantum operation with unit fidelity, a result which is extremely useful in many applications that require fast high-performance quantum operations, such as quantum gate operations [10][11][12], quantum anealing [13][14][15], state preparation [16][17][18][19][20], transport [21,22] interferometory [23], geometric pumping [24,25], and heat engines [26][27][28][29][30][31].…”

mentioning

confidence: 99%

General bound on the performance of counter-diabatic driving acting on dissipative spin systems

Funo,

Lambert,

Nori

2021

Preprint

View full text Add to dashboard Cite

Counter-diabatic driving (CD) is a technique in quantum control theory designed to counteract nonadiabatic excitations and guide the system to follow its instantaneous energy eigenstates, and hence has applications in state preparation, quantum annealing, and quantum thermodynamics. However, in many practical situations, the effect of the environment cannot be neglected, and the performance of the CD is expected to degrade. To arrive at universal bounds on the resulting error of CD in this situation we consider a driven spin-boson model as a prototypical setup. The inequalities we obtain, in terms of either the Bures angle or the fidelity, allow us to estimate the maximum error solely characterized by the parameters of the system and the bath. By utilizing the analytical form of the upper bound, we demonstrate that the error can be systematically reduced through optimization of the external driving protocol of the system. We also show that if we allow a time-dependent system-bath coupling angle, the obtained bound can be saturated and realizes unit fidelity.

show abstract

Geometric atom interferometry with shortcuts to adiabaticity

Cited by 11 publications

References 51 publications

Universal speeded-up adiabatic geometric quantum computation in three-level systems via counterdiabatic driving

Universal speeded-up adiabatic geometric quantum computation in three-level systems via counterdiabatic driving

Full Quantum Analysis of Complete Population Transfer Using Frequency Boost

General bound on the performance of counter-diabatic driving acting on dissipative spin systems

Contact Info

Product

Resources

About