Manipulating matter waves in an optical superlattice

Reid, Brendan N.; Moreno-Cardoner, M.; Sherson, Jacob; Chiara, Gabriele De

doi:10.1103/physreva.94.063629

Cited by 5 publications

(3 citation statements)

References 52 publications

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“…In the case of the Bloch bands, these effects also include Bloch oscillations, which are the periodic motion of particles in a superlattice subjected to a constant external field. These take place in Bose-Einstein condensates in tilted and driven optical superlattices (Reid et al, 2016;Witthaut et al, 2011), in graphene and topological insulators (Krueckl and Richter, 2012;Sun et al, 2018), in photonic Lieb lattices (Long and Ren, 2017), for trapped ions (Gagge and Larson, 2018), and for the high-order harmonic generation in solids (Jin et al, 2018), and in moiré systems under a uniform magnetic field (Paul et al, 2022).…”

Section: F Other Systemsmentioning

confidence: 99%

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Ivakhnenko¹,

Shevchenko²,

Nori³

2022

Preprint

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H. Comparison of different methods IV. Interferometry A. Superconducting circuits B. Semiconductor quantum dots C. Donors and impurities (atomic qubits) D. Graphene E. Microscopic systems F. Other systems G. Multilevel systems V. Quantum control A. Coherent control of microscopic and mesoscopic structures B. Universal single-and two-qubit control C. Shortcuts to adiabaticity D. Adiabatic quantum computation VI. Related classical coherent phenomena VII. Conclusion 1. With near-adiabatic limit (Landau) 2. With parabolic cylinder functions (Zener) 3. With contour integrals (Majorana) 4. With WKB approximation and phase integral method (Stückelberg) 5. Duration of the LZSM transition B. Description of a periodically driven two-level system 1. Adiabatic-impulse model a. Adiabatic evolution b. Multiple-passage evolution 2. Rotating-wave approximation (RWA) 3. Floquet theory 4. Rate equation and white noise approach a. Transition rate b. Rate equation c. From Bessel to Airy d. Double-passage regime ReferencesAbbreviations and most-often-used symbols Because this review article is quite long, for the readers' convenience, we present the main abbreviations used. This list also includes some of the topics covered.

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Section: F Other Systemsmentioning

confidence: 99%

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Ivakhnenko¹,

Shevchenko²,

Nori³

2022

Preprint

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“…Nanostructure creation methods utilizing the dipole force to deposit atoms onto a substrate rely crucially upon the atoms to remain in the lower state throughout the light-atom interaction time and to evolve in the relevant optical potential-a concept resulting from the adiabaticity assumption (AA). Several types of optical potentials have been used in many other applications, [16][17][18] but without giving much thought on their validity other than simply assuming that the Rabi frequency to drive the transitions is much smaller than the detuning. Successful demonstrations of the atom deposition method were possible by setting out suitable experimental conditions under which predictions based on the concept of optical potential is applicable in manipulating atomic motion with lasers.…”

Section: Introductionmentioning

confidence: 99%

Limits of the adiabaticity assumption and conditions for improving laser focusing of atomic matter wave

Lee

2022

Bulletin Korean Chem Soc

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The adiabaticity assumption (AA) and the resulting concept of optical potential in the context of atom focusing with lasers were examined numerically for various experimentally controllable laser parameters. The Schrödinger equations for the atomic center-of-mass dynamics in a laser field were calculated using with or without the AA, and the results were compared. The validity of the AA was tested over a wide range of the Rabi frequency to detuning ratios and the optical potential depths. From the analysis, several specific guidelines were provided on choosing laser parameters that sustain the validity of the AA and improve atom focusing outcomes.

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“…al. reported a theoretical study on manipulation of ultracold atoms in the bichromatic lattice using the Landau-Zener transition caused by a linear external potential [12]. Unfortunately, the theory falls short of achieving maximal coherence for shaping the wave packet, being based on the Bloch oscillation.…”

Section: Introductionmentioning

confidence: 99%

Fast and selective interband transfer of ultracold atoms in bichromatic lattices permitting Dirac points

Yamakoshi

Watanabe

2019

Phys. Rev. A

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An experimental group at Beijing [Yueyang Zhai, et. al., Phys. Rev. A 87, 063638 (2013)] introduced the method of standing-wave pulse sequence for efficiently preparing ultracold bosonic atoms into a specific excited band in a 1-dimensional optical lattice. Here, we report a theoretical extension of their work to the problem of 1-dimensional bichromatic superlattice. We find that varying the lattice parameters leads to the so-called Dirac point where a pair of excited bands crosses. This paper thus discusses simultaneously the efficient excitation of the wave packet to the proximity of the Dirac point and its subsequent dynamics in the force field of a parabolic trap.With the aid of a toy model, we theoretically unravel the mechanism of the efficient preparation, and then numerically explore optimal pulse-sequence parameters for a realistic situation. We find an optimized sequence of a bichromatic optical lattice that excites more than 99% of the atoms to the 1st and 2nd excited bands within 100 µs without the harmonic trap. Our main finding is that the system permitting the Dirac point possesses a region of parameters where the excited energy bands become nearly parabolic, conducive to robust coherence and isochronicity. We also provide an appropriate data set for future experimentation, including effects of the atom-atom interaction by way of the mean-field nonlinear term. Ultracold atoms and molecules in optical lattices have been eagerly investigated over the last 20 years[1]. These quantum systems have attracted much attention for their high controllability and accessibility as well as their fascinating quantum effects as exemplified by the artificial gauge fields[2]. The present paper concerns, in this context, ultracold atoms in a one-dimensional and highly tunable bichromatic lattice, which system enables us to investigate low-dimensional quantum properties subject to a designed band structure. Once the bichromatic lattices were experimentally realized [3] in the beginning of the year 2000, there ensued the examination of such phenomena as the Landau-Zener tunneling [4], Bloch oscillations [5] and Stückelberg interferometry of ultracold matter waves [6], etc. As for the energy bands, D. Witthaut et. al. [7] theoretically suggested that the 1st and 2nd bands would cross if experimental parameters were properly set so that the dynamics near the crossing could be mapped onto the Dirac equation, hence the coinage of the "Dirac point". This theoretical proposal was experimentally examined by T. Salger et. al. [8]; they demonstrated the Landau-Zener transition at the Dirac point, also known as the Klein tunneling, subject to the optical dipole trapping and the gravitational potential. To this day, many groups have studied the bichromatic lattice system in terms of quasi-relativistic properties [9], topological properties [10], and also in association with the time-wise lattice system [11] etc. Recently, B. Reid et. al. reported a theoretical study on manipulation of ultracold atoms in the bichromatic lattice...

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Manipulating matter waves in an optical superlattice

Cited by 5 publications

References 52 publications

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Limits of the adiabaticity assumption and conditions for improving laser focusing of atomic matter wave

Fast and selective interband transfer of ultracold atoms in bichromatic lattices permitting Dirac points

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