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It is well known that a particle in a periodic potential with an additional constant force performs Bloch oscillations. Modulating every second period of the potential, the original Bloch band splits into two subbands. The dynamics of…

Quantum Physics · Physics 2007-05-23 B. M. Breid , D. Witthaut , H. J. Korsch

The Bloch sphere representation is a geometric model for all possible quantum states of a two-level system that can be used to describe the time dynamics of a qubit. As explicit application, we consider the time dynamics of a particle in a…

Physics Education · Physics 2024-10-31 Jonas Bley , Vieri Mattei , Simon Goorney , Jacob Sherson , Stefan Heusler

Devices based on ultracold atoms moving in an accelerating optical lattice or double-well potential are a promising tool for precise measurements of fundamental physical constants as well as for the construction of sensors. Here, we…

Quantum Gases · Physics 2016-02-17 Andrea Sacchetti

We identify a new type of periodic evolution that appears in driven quantum systems. Provided that the instantaneous (adiabatic) energies are equidistant we show how such systems can be mapped to (time-dependent) tilted single-band lattice…

Quantum Physics · Physics 2018-11-21 Axel Gagge , Jonas Larson

We demonstrate that an ultracold many-body bosonic ensemble confined in an one-dimensional (1D) double well potential exhibits a population imbalance between the two wells at large timescales, when the depth of the wells are modulated by a…

Quantum Physics · Physics 2020-09-09 Jie Chen , Aritra K. Mukhopadhyay , Peter Schmelcher

We propose a time-domain "interferometer" based on ultracold Bose atoms loaded on a double well potential. By the adiabatic Rosen-Zener process, the barrier between two wells is ramped down slowly, held for a while, then ramped back.…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Li-Bin Fu , Di-Fa Ye , Chaohong Lee , Weiping Zhang , Jie Liu

We derive a two-band finite-dimensional model for description of the condensate tunneling in an accelerating optical lattice, taking into account the fine Bloch band structure. The model reveals a very strong dependence of the final band…

Other Condensed Matter · Physics 2007-05-23 Valery S. Shchesnovich , Solange B. Cavalcanti

In an adiabatic rapid passage experiment, the Bloch vector of a two-level system (qubit) is inverted by slowly inverting an external field to which it is coupled, and along which it is initially aligned. In twisted rapid passage, the…

Quantum Physics · Physics 2009-11-07 Frank Gaitan

We present a split-beam neutron interferometric experiment to test the non-cyclic geometric phase tied to the spatial evolution of the system: the subjacent two-dimensional Hilbert space is spanned by the two possible paths in the…

Quantum Physics · Physics 2007-05-23 Stefan Filipp , Yuji Hasegawa , Rudolf Loidl , Helmut Rauch

A quasi-unidimensional one-electron double quantum dot is studied within the framework of Shannon informational entropy. Its confinement potential, which is described by an asymmetric harmonic-gaussian function, consists of two wells…

Atomic Physics · Physics 2024-12-30 W. S. Nascimento , A. M. Maniero , F. V. Prudente , C. R. de Carvalho , Ginette Jalbert

The sensitivity of an inertial sensor based on an atomic interfermometer is proportional to the velocity separation of atoms in the two arms of the interferometer. In this paper we describe how Bloch oscillations can be used to increase…

Atomic Physics · Physics 2015-05-13 Pierre Cladé , Saïda Guellati-Khélifa , François Nez , François Biraben

Bloch oscillations (i.e., coherent acceleration of matter waves by an optical lattice) and Bragg diffraction are integrated into light-pulse atom interferometers with large momentum splitting between the interferometer arms, and hence…

Atomic Physics · Physics 2010-04-22 Holger Mueller , Sheng-wey Chiow , Sven Herrmann , Steven Chu

Using cold 87Rb atoms trapped in a 1D-optical lattice, atomic interferometers involving coherent superpositions between different Wannier-Stark atomic states are realized. Two di fferent kinds of trapped interferometer schemes are…

We study the simultaneous semi-classical and adiabatic asymptotics for a class of (weakly) nonlinear Schroedinger equations with a fast periodic potential and a slowly varying confinement potential. A rigorous two-scale WKB-analysis,…

Mathematical Physics · Physics 2007-05-23 Remi Carles , Peter A. Markowich , Christof Sparber

Bloch oscillations of atoms in optical lattices are a powerful technique that can boost the sensitivity of atom interferometers to a wide range of signals by large momentum transfer. To leverage this method to its full potential, an…

We investigate the mutiphoton process between different Bloch states in an amplitude modulated optical lattice. In the experiment, we perform the modulation with more than one frequency components, which includes a high degree of freedom…

Quantum Gases · Physics 2015-04-14 Linxiao Niu , Dong Hu , Shengjie Jin , Xiangyu Dong , Xuzong Chen , Xiaoji Zhou

We introduce a model motivated by studies of Bose-Einstein condensates (BECs) trapped in double-well potentials. We assume that a mixture of two hyperfine states of the same atomic species is loaded in such a trap.The analysis is focused on…

Pattern Formation and Solitons · Physics 2009-11-13 C. Wang , P. G. Kevrekidis , N. Whitaker , B. A. Malomed

In systems with a real Bloch Hamiltonian band nodes can be characterised by a non-Abelian frame-rotation charge. The ability of these band nodes to annihilate pairwise is path dependent, since by braiding nodes in adjacent gaps the sign of…

Quantum Gases · Physics 2024-09-02 Oliver Breach , Robert-Jan Slager , F. Nur Ünal

Matter-wave interference experiments enable us to study matter at its most basic, quantum level and form the basis of high-precision sensors for applications such as inertial and gravitational field sensing. Success in both of these…

The analysis of an angular distribution of the emission intensity of a two-level atom (dipole) in a photonic crystal reveals an enhancement of the emission rate in some observation directions. Such an enhancement is the result of the…

Optics · Physics 2009-11-13 Dmitry N. Chigrin