Quantum transport of ultracold atoms in an accelerating optical potential

Madison, Kirk W.; Bharucha, C. F.; Morrow, P. R.; Wilkinson, S. R.; Niu, Qian; Sundaram, Bala; Raizen, Mark G.

doi:10.1007/s003400050335

Cited by 38 publications

(20 citation statements)

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“…The generalized two-level LZ theory is applied to study the temporal evolution of ultracold atoms loaded into a spatially periodic potential V 0 2 cos [2πx/d L + φ(t)]. In the reference frame of the standing wave [31], this potential becomes the sum of a periodic potential V 0 2 cos (2πx/d L ) and a slowly varying force F . The characteristic energy scale of the system is the recoil energy defined as E rec =hω rec = π 2h2 /2Md 2 L .…”

Section: Discussionmentioning

confidence: 99%

Quantum driving protocols for a two-level system: From generalized Landau-Zener sweeps to transitionless control

Malossi

Bason²,

Viteau³

et al. 2013

Phys. Rev. A

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We present experimental results on the preparation of a desired quantum state in a two-level system with the maximum possible fidelity using driving protocols ranging from generalizations of the linear Landau-Zener protocol to transitionless driving protocols that ensure perfect following of the instantaneous adiabatic ground state. We also study the minimum time needed to achieve a target fidelity and explore and compare the robustness of some of the protocols against parameter variations simulating a possible experimental uncertainty. In our experiments, we realize a two-level model system using Bose-Einstein condensates inside optical lattices, but the results of our investigation should hold for any quantum system that can be approximated by a two-level system

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Section: Discussionmentioning

confidence: 99%

Quantum driving protocols for a two-level system: From generalized Landau-Zener sweeps to transitionless control

Malossi

Bason²,

Viteau³

et al. 2013

Phys. Rev. A

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“…1(a). Such an optical lattice can be created for the impurities by subjecting them to both an optical lattice and a static forcing, e.g., gravity [12], or by chirping the frequency difference between the counter-propagating lasers making up the standing wave of an optical lattice along the direction of motion [24]. For sufficiently deep lattices and low temperatures solely the lowest Bloch band is occupied and only tunneling between nearest neighbor sites must be considered.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Impurity transport through a strongly interacting bosonic quantum gas

et al. 2011

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Using near-exact numerical simulations we study the propagation of an impurity through a onedimensional Bose lattice gas for varying bosonic interaction strengths and filling factors at zero temperature. The impurity is coupled to the Bose gas and confined to a separate tilted lattice. The precise nature of the transport of the impurity is specific to the excitation spectrum of the Bose gas which allows one to measure properties of the Bose gas non-destructively, in principle, by observing the impurity; here we focus on the spatial and momentum distributions of the impurity as well as its reduced density matrix. For instance we show it is possible to determine whether the Bose gas is commensurately filled as well as the bandwidth and gap in its excitation spectrum. Moreover, we show that the impurity acts as a witness to the cross-over of its environment from the weakly to the strongly interacting regime, i.e., from a superfluid to a Mott insulator or TonksGirardeau lattice gas and the effects on the impurity in both of these strongly-interacting regimes are clearly distinguishable. Finally, we find that the spatial coherence of the impurity is related to its propagation through the Bose gas, giving an experimentally controllable example of noise-enhanced quantum transport.

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“…Previous work 3,4 suggests that it is possible to generate population inversion in the superconducting quantum circuits subjected to MW radiation. In this letter, we report a further step in this direction: a controllable population inversion in a strongly driven radio frequency superconducting quantum interference device ͑rf-SQUID͒ by employing Landau-Zener ͑LZ͒ transition.LZ transition is a celebrated quantum mechanical phenomenon in the quantum world.5-7 It has been found in various physical systems, such as atoms in accelerating optical lattices, 8,9 superlattices, 10 nanomagnets, 11,12 quantum dots, 13 and Josephson junctions. [14][15][16] Recently LZ transition is also found in the superconducting qubits, [17][18][19][20] providing new insights into the fundamentals of quantum mechanics and holding promise for the superconducting qubits' application.…”

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confidence: 99%

Population inversion induced by Landau–Zener transition in a strongly driven rf superconducting quantum interference device

Sun

Wen

Wang

et al. 2009

Applied Physics Letters

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Microwave resonances between discrete macroscopically distinct quantum states with single photon and multiphoton absorption are observed in a strongly driven radio frequency superconducting quantum interference device flux qubit. The amplitude of the resonant peaks and dips are modulated by the power of the applied microwave irradiation and a population inversion is generated at low flux bias. These results, which can be addressed with Landau-Zener transition, are useful to develop an alternative means to initialize and manipulate the flux qubit, as well as to do a controllable population inversion used in a micromaser. © 2009 American Institute of Physics. ͓DOI: 10.1063/1.3093823͔As controllable artificial atoms, superconducting qubits have received considerable attention because of providing a new paradigm of quantum solid state physics. So far, many fantastic macroscopic quantum coherent phenomena 1,2 have been demonstrated in superconducting qubits. In addition, recent experiments show that the interaction between superconducting qubits and microwave ͑MW͒ resonant cavity can produce single photon, 2 which leads to a possible application of superconducting qubits as a micromaser. It is well known that population inversion, which maintains a majority of atoms in excited states rather than in ground state, has to be realized in order to ensure the amplification of the light and thus the laser process. Previous work 3,4 suggests that it is possible to generate population inversion in the superconducting quantum circuits subjected to MW radiation. In this letter, we report a further step in this direction: a controllable population inversion in a strongly driven radio frequency superconducting quantum interference device ͑rf-SQUID͒ by employing Landau-Zener ͑LZ͒ transition.LZ transition is a celebrated quantum mechanical phenomenon in the quantum world.5-7 It has been found in various physical systems, such as atoms in accelerating optical lattices, 8,9 superlattices, 10 nanomagnets, 11,12 quantum dots, 13 and Josephson junctions. [14][15][16] Recently LZ transition is also found in the superconducting qubits, [17][18][19][20] providing new insights into the fundamentals of quantum mechanics and holding promise for the superconducting qubits' application. One may use LZ to enhance the quantum tunneling rate, 21,22 prepare the quantum state, 23 control the qubit gate operations 13,24 effectively, and do the controllable population inversion as demonstrated in this letter.Our design of the superconducting flux qubit, being immune to charge noise and comparatively easy to be read out, is based on rf-SQUID. 25 An rf-SQUID consists of a superconducting loop with inductance L interrupted by one Josephson junction with capacitance C and critical current I c . Its dynamics can be described in terms of the variable ⌽ and are identical to those of a particle of "mass" C with kinetic energy C⌽ 2 / 2 moving in the potential U͑⌽͒. Herewhere ⌽ 0 is the flux quantum,close to one half of a flux quantum is applied, the potential ...

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Quantum transport of ultracold atoms in an accelerating optical potential

Cited by 38 publications

References 1 publication

Quantum driving protocols for a two-level system: From generalized Landau-Zener sweeps to transitionless control

Quantum driving protocols for a two-level system: From generalized Landau-Zener sweeps to transitionless control

Impurity transport through a strongly interacting bosonic quantum gas

Population inversion induced by Landau–Zener transition in a strongly driven rf superconducting quantum interference device

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