Time-Resolved Measurement of Landau-Zener Tunneling in Periodic Potentials

Zenesini, Alessandro; Lignier, Hans; Tayebirad, G.; Radogostowicz, J.; Ciampini, Donatella; Mannella, R.; Wimberger, Sandro; Morsch, O.; Arimondo, E.

doi:10.1103/physrevlett.103.090403

Cited by 120 publications

(148 citation statements)

References 30 publications

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“…Some examples include ultracold atoms in accelerated optical lattices [13][14][15], Feshbach associated ultracold molecules [16], Rydberg atoms [17], as well as in solid-state qubits [18,19] and spin-transistors [20]. In this paper, we measure the LZ transition probability of a BEC with synthetic 1D SO coupling of equal Rashba and Dresselhaus types [3].…”

Section: Theory Of Lz Transitions In a So-coupled Becmentioning

confidence: 99%

“…The solid lines are results of the numerical simulation of the time-dependent, 1D Schrödinger equation (Appendix B). By fitting the experimental measurements to a sigmoid function (similar to [14]), we extract the time it takes to transition between the diabatic states ("switching time", t switch dia ) in Fig. 5(b).…”

Section: Time-dependent Measurements Of Spin Polarizationmentioning

confidence: 99%

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Tunable Landau-Zener transitions in a spin-orbit-coupled Bose-Einstein condensate

et al. 2014

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The Landau-Zener (LZ) transition is one of the most fundamental phenomena in quantum dynamics. It describes nonadiabatic transitions between quantum states near an avoided crossing that can occur in diverse physical systems. Here we report experimental measurements and tuning of LZ transitions between the dressed eigenlevels of a synthetically spin-orbit (SO) coupled Bose-Einstein condensate (BEC). We measure the transition probability as the BEC is accelerated through the SO avoided crossing, and study its dependence on the coupling between the diabatic (bare) states, eigenlevel slope, and eigenstate velocity-the three parameters of the LZ model that are independently controlled in our experiments. Furthermore, we performed time-resolved measurements to demonstrate the breaking-down of the spin-momentum locking of the spin-orbit coupled BEC in the nonadiabatic regime, and determine the diabatic switching time of the LZ transitions. Our observations show quantitative agreement with the LZ model and numerical simulations of the quantum dynamics in the quasimomentum space. The tunable LZ transition may be exploited to enable a spin-dependent atomtronic transistor.

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Section: Theory Of Lz Transitions In a So-coupled Becmentioning

confidence: 99%

Section: Time-dependent Measurements Of Spin Polarizationmentioning

confidence: 99%

Tunable Landau-Zener transitions in a spin-orbit-coupled Bose-Einstein condensate

et al. 2014

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“…Since such peaks can be created by applying other signals, e.g. ac electrical [25] or acoustic [35] waves, the link that we have demonstrated between single and collective transport has broad implication for en-hancing and controlling band transport effects for waves in other periodic systems including photonic and acoustic crystals [36,37], graphene, where relativistic quantum scars of unstable periodic classical orbits were recently identified [38], and ultracold atoms in optical lattices [8,9,24,39]. This work is supported by the European Science Foundation, The Royal Society and EPSRC UK.…”

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confidence: 99%

Controlling High-Frequency Collective Electron Dynamics via Single-Particle Complexity

et al. 2012

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We demonstrate, through experiment and theory, enhanced high-frequency current oscillations due to magnetically-induced conduction resonances in superlattices. Strong increase in the ac power originates from complex single-electron dynamics, characterized by abrupt resonant transitions between unbound and localized trajectories, which trigger and shape propagating charge domains. Our data demonstrate that external fields can tune the collective behavior of quantum particles by imprinting configurable patterns in the single-particle classical phase space.PACS numbers: 05.45. Mt, 73.21.Cd Understanding the interplay between the properties of individual objects and their collective behavior is of fundamental interest in many fields [1][2][3][4]. It explains, for example, jamming and pattern formation in granular systems [1,[5][6][7], dynamical heterogeneity in phase transitions [3], tunneling dynamics and quantum phases in cold atoms [8,9], and the synchronization of networks and complex adaptive systems [2,10]. Moreover, interactions between particles play a key role in determining the structures formed when the particles come into contact [4]. Consequently, tailoring single-particle dynamics may provide a route to controlling the collective dynamics of many-body systems. This is a major challenge both in fundamental science [11][12][13] and for developing new technologies such as high-frequency electronic devices [14][15][16], whose performance can be greatly enhanced by applied quantizing magnetic fields [17,18].The phase space structure of individual particles, in particular the existence and relative location of regular and chaotic trajectories, critically affects thermalization and diffusion both in classical and quantum systems [19,20]. Therefore, manipulating the single-particle phase space, by generating new chaotic trajectories for example, is a promising strategy in the search for ways to control other collective phenomena.Usually, the transition to chaos in Hamiltonian systems occurs by the gradual destruction of stable orbits, in accordance with the Kolmogorov-Arnold-Moser (KAM) theorem [21]. In far rarer non-KAM chaos, the chaotic orbits become abruptly unbounded when the perturbation frequency attains critical values and map out intricate "stochastic webs" in phase space [19]. Experimental realization of non-KAM classical chaos was recently achieved using a quantum system [22]: a semiconductor superlattice (SL) with a magnetic field, B, tilted relative to an electric field, F, along the SL axis. When the frequency of single-electron Bloch oscillations along the SL axis is commensurate with that for cyclotron motion in the plane of the layers [14,22,23], the orbits map out stochastic webs in phase space, which delocalize the electrons in real space. This delocalization creates multiple resonant peaks in the single-electron drift velocity versus F characteristics, which enhance the measured dc conductivity [22].In this Letter, we show, via experiments and theoretical modeling, that non-KAM single-pa...

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“…In recent years, ultracold atomic gases have provided new opportunities for investigating a many-body extension of the simple two-level LZ tunneling process [9][10][11][12][13][14][15][16][17][18]. The remarkable controllability in these systems allows a clear study of the effect of the interatomic interaction on the LZ tunneling process.…”

Section: Introductionmentioning

confidence: 99%

Photon-induced sideband transitions in a many-body Landau-Zener process

et al. 2014

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We investigate the many-body Landau-Zener (LZ) process in a two-site Bose-Hubbard model driven by a time-periodic field. We find that the driving field may induce sideband transitions in addition to the main LZ transitions. These photon-induced sideband transitions are a signature of the photon-assisted tunneling in our many-body LZ process. In the strong interaction regime, we develop an analytical theory for understanding the sideband transitions, which is confirmed by our numerical simulation. Furthermore, we discuss the quantization of the driving field. In the effective model of the quantized driving field, the sideband transitions can be understood as the LZ transitions between states of different "photon" numbers.

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Time-Resolved Measurement of Landau-Zener Tunneling in Periodic Potentials

Cited by 120 publications

References 30 publications

Tunable Landau-Zener transitions in a spin-orbit-coupled Bose-Einstein condensate

Tunable Landau-Zener transitions in a spin-orbit-coupled Bose-Einstein condensate

Controlling High-Frequency Collective Electron Dynamics via Single-Particle Complexity

Photon-induced sideband transitions in a many-body Landau-Zener process

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