Theoretical analysis of super–Bloch oscillations

Kudo, Kazue; Monteiro, T. S.

doi:10.1103/physreva.83.053627

Cited by 73 publications

(94 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The combined presence of both dc and ac forces leads interesting results such as directed motion, super Bloch oscillation and photon-assisted tunneling. Super Bloch oscillations over hundreds of lattice sites occur when an integer multiple of the ac frequency is slightly detuned from the Bloch frequency associated with the dc component of the force [6][7][8][9][10][11][12]. In photon assisted tunneling, wavepacket delocalization occurs for an initially localized wave packet when modulation frequency is at multiple integers of the Bloch frequency [13][14][15][16][17][18][19].…”

mentioning

confidence: 99%

Dynamical control in a quasi-periodically modulated optical lattice

Yüce

2013

EPL

View full text Add to dashboard Cite

-We investigate quantum tunneling phenomena for an optical lattice subjected to a bichromatic ac force. We show that incommensurability of the frequencies leads to super Bloch oscillation. We propose directed super Bloch oscillation for the quasi periodically driven optical lattice. We study the dynamical localization and photon assisted tunneling for a periodical and quasi-periodical ac force.Introduction. -Quantum tunneling of particles between potential wells is a fundamental concepts in physics and used to perform measurements of forces with high sensitivity and accuracy [1]. Recent experiments on cold atoms in optical lattices subject to time-periodic perturbations have revealed details of tunneling control through an external driving field. Tunneling control in optical lattices depends in general on the form of the external potential and, in particular, on its parameters. Nontrivial dynamical effects have been demonstrated even in the absence of nonlinear atom-atom interaction. In an optical lattice, the Bloch states are completely delocalized, with the atomic wave functions extending over the whole lattice. Thus, an initially localized wave-packet spreads ballistically in time. The presence of dc force breaks the translational symmetry and suppress atomic tunneling [2,3]. The physical picture changes if the external force is ac type (optical lattice are periodically shaken back and forth). The effect of an ac force is the reduced tunneling rate. At certain shaking strengths, tunneling is lost and dynamical localization occurs [4,5]. The combined presence of both dc and ac forces leads interesting results such as directed motion, super Bloch oscillation and photon-assisted tunneling. Super Bloch oscillations over hundreds of lattice sites occur when an integer multiple of the ac frequency is slightly detuned from the Bloch frequency associated with the dc component of the force [6][7][8][9][10][11][12]. In photon assisted tunneling, wavepacket delocalization occurs for an initially localized wave packet when modulation frequency is at multiple integers of the Bloch frequency [13][14][15][16][17][18][19]. It was shown that not only the strength of the ac force but also its phase is of experimental relevance [20,21]. The generalization of the monochromatic ac force to a multi-frequency ac force leads to nontrivial results in ultra cold atom dynamics [22][23][24][25][26][27][28][29][30][31][32][33]. The relationship between symmetries and transport was explored for a cold atom ratchet with multifrequency driving [25]. It was shown that the bi-harmonic ac force stabilizes the dynamics, allowing the generation of uniform directed motion over a range of momentum much larger than what is possible with a dc bias [29]. In this paper, we study quantum tunneling phenomena for an optical lattice subjected to a

show abstract

mentioning

confidence: 99%

Dynamical control in a quasi-periodically modulated optical lattice

Yüce

2013

EPL

View full text Add to dashboard Cite

show abstract

“…Such amplitude modulation means the appearance of lines ω = mω 0 + nΩ B , where m, n = 0, ±1, ±2, ..., ±∞. The frequency-modulated factors exp[iν j (ϕ)], for qualitative analysis, may be averaged over the Bloch-period [40]. The dominant support to observable values is defined by two first modes, with j = 1,2.…”

Section: The Case Of Small Bloch-frequencymentioning

confidence: 99%

“…2017, 7, 721 11 of 25 RWA, and based on Floquet theorem. Following it, the probability amplitudes of the j-th mode are presented in the form may be averaged over the Bloch-period [40]. The dominant support to observable values is defined by two first modes, with j = 1,2.…”

Section: The Case Of Small Bloch-frequencymentioning

confidence: 99%

The New Concept of Nano-Device Spectroscopy Based on Rabi–Bloch Oscillations for THz-Frequency Range

Levie¹,

Slepyan²

2017

Applied Sciences

View full text Add to dashboard Cite

Abstract:We considered one-dimensional quantum chains of two-level Fermi particles coupled via the tunneling driven both by ac and dc fields in the regimes of strong and ultrastrong coupling. The frequency of ac field is matched with the frequency of the quantum transition. Based on the fundamental principles of electrodynamics and quantum theory, we developed a general model of quantum dynamics for such interactions. We showed that the joint action of ac and dc fields leads to the strong mutual influence of Rabi-and Bloch oscillations, one to another. We focused on the regime of ultrastrong coupling, for which Bloch-and Rabi-frequencies are significant values of the frequency of interband transition. The Hamiltonian was solved numerically, with account of anti-resonant terms. It manifests by the appearance of a great number of narrow high-amplitude resonant lines in the spectra of tunneling current and dipole moment. We proposed the new concept of terahertz (THz) spectroscopy, which is promising for different applications in future nanoelectronics and nano-photonics.

show abstract

“…they can be partially transmitted across a sufficiently high potential barrier, despite a single particle can not. Such a correlation-induced KT is associated to the formation of a bound (molecular) particle state [24,25,26,27,28,29,30,31], which behaves differently from the single particle state as it is scattered off by a potential barrier [31,32] or when an external field is applied [28,29,33,34,35,36]. We emphasize that, for the observation of correlation-induced KT, it is crucial that the particles exhibit long-range (nearestneighbor) interaction, with the existence of two minibands for the two-particle bound state.…”

Section: Send Offprint Requests Tomentioning

confidence: 99%

“…For the sake of definiteness, we will refer to the former case. The particle dynamics can be described by a rather standard one-dimensional extended Bose-Hubbard model (EHM) [30,31,33,34] with Hamiltonian (h = 1)…”

Section: The Modelmentioning

confidence: 99%

Klein tunneling of two correlated bosons

Longhi

Valle

2013

Eur. Phys. J. B

View full text Add to dashboard Cite

Abstract. Reflection of two strongly interacting bosons with long-rage interaction hopping on a onedimensional lattice scattered off by a potential step is theoretically investigated in the framework of the extended Hubbard model. The analysis shows that, in the presence of unbalanced on-site and nearestneighbor site interaction, two strongly correlated bosons forming a bound particle state can penetrate a high barrier, despite the single particle can not. Such a phenomenon is analogous to one-dimensional Klein tunneling of a relativistic massive Dirac particle across a potential step.PACS. 03.75.-b Matter waves -71.10.Fd Lattice fermion models (Hubbard model, etc.)

show abstract

Theoretical analysis of super–Bloch oscillations

Cited by 73 publications

References 38 publications

Dynamical control in a quasi-periodically modulated optical lattice

Dynamical control in a quasi-periodically modulated optical lattice

The New Concept of Nano-Device Spectroscopy Based on Rabi–Bloch Oscillations for THz-Frequency Range

Klein tunneling of two correlated bosons

Contact Info

Product

Resources

About