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Let the adiabatic invariant of action variable in slow-fast Hamiltonian system with two degrees of freedom have two limiting values along the trajectories as time tends to infinity. The difference of two limits is exponentially small in…

Dynamical Systems · Mathematics 2015-05-27 Tan Su

We propose to use a cloud of laser cooled atoms in a quasi two dimensional trap to investigate a non equilibrium collapse phase transition in presence of gravitational-like interaction. Using theoretical arguments and numerical simulations,…

Atomic Physics · Physics 2014-04-23 Julien Barré , Bruno Marcos , David Wilkowski

We use a self-assembled two-dimensional Coulomb crystal of $\sim 70$ ions in the presence of an external transverse field to engineer a quantum simulator of the Dicke Hamiltonian. This Hamiltonian has spin and bosonic degrees of freedom…

We report on highly effective trapping of cold atoms by a new method for a stable single optical trap in the near-optical resonant regime. An optical trap with the near-optical resonance condition consists of not only the dipole but also…

Quantum Gases · Physics 2020-01-01 Taro Mashimo , Masashi Abe , Satoshi Tojo

We report on the realization of an ultracold (<25~muK) mixture of rubidium ({87}Rb) and metastable triplet helium ({4}He) in an optical dipole trap. Our scheme involves laser cooling in a dual-species magneto-optical trap, simultaneous MW-…

Atomic Physics · Physics 2017-04-13 Adonis Silva Flores , Hari Prasad Mishra , Wim Vassen , Steven Knoop

Frictionless atom cooling in harmonic traps is formulated as a time-optimal control problem and a synthesis of optimal controlled trajectories is obtained. This work has already been used to determine the minimum time for transition between…

Optimization and Control · Mathematics 2016-11-17 Dionisis Stefanatos , Heinz Schaettler , Jr-Shin Li

We describe an experiment to produce 87Rb Bose-Einstein condensates in an optically plugged magnetic quadrupole trap, using a blue-detuned laser. Due to the large detuning of the plug laser with respect to the atomic transition, the…

We report the first experimental realization of ultracold atoms confined in a time-averaged, adiabatic potential (TAAP). This novel trapping technique involves using a slowly oscillating ($\sim$ kHz) bias field to time-average the…

Quantum Gases · Physics 2011-10-17 M. Gildemeister , E. Nugent , B. E. Sherlock , M. Kubasik , B. T. Sheard , C. J. Foot

We consider an active Brownian particle in a $d$-dimensional harmonic trap, in the presence of translational diffusion. While the Fokker-Planck equation can not in general be solved to obtain a closed form solution of the joint distribution…

Statistical Mechanics · Physics 2021-12-23 Debasish Chaudhuri , Abhishek Dhar

We design optimal harmonic-trap trajectories to transport cold atoms without final excitation, combining an inverse engineering techniqe based on Lewis-Riesenfeld invariants with optimal control theory. Since actual traps are not really…

Quantum Physics · Physics 2011-11-08 Xi Chen , E. Torrontegui , Dionisis Stefanatos , Jr-Shin Li , J. G. Muga

Quantum state preparation is vital to quantum computation and quantum information processing tasks. In adiabatic state preparation, the target state is theoretically obtained with nearly perfect fidelity if the control parameter is tuned…

Quantum Gases · Physics 2024-02-12 Xikun Li , Daniel Pęcak , Tomasz Sowiński , Jacob Sherson , Anne E. B. Nielsen

Fractional quantum Hall systems are among the most exciting strongly correlated systems. Accessing them microscopically via quantum simulations with ultracold atoms would be an important achievement toward a better understanding of this…

We investigate theoretically the possibility for robust and fast cooling of a trapped atomic ion by transient interaction with a pre-cooled ion. The transient coupling is achieved through dynamical control of the ions' equilibrium…

Quantum Physics · Physics 2020-08-26 Tobias Sägesser , Roland Matt , Robin Oswald , Jonathan P. Home

Spatial adiabatic passage processes for ultracold atoms trapped in tunnel-coupled cylindrically symmetric concentric potentials are investigated. Specifically, we discuss the matter-wave analogue of the rapid adiabatic passage (RAP)…

Quantum Physics · Physics 2016-02-10 Joan Polo , Albert Benseny , Thomas Busch , Verònica Ahufinger , Jordi Mompart

We report a compact setup with in-series two-dimensional magneto-optical traps (2D MOTs) that provides high-flux cold lithium and rubidium atoms. Thanks to the efficient short-distance Zeeman slowing, the maximum 3D MOT loading rate of…

Atomic Physics · Physics 2026-05-12 Yun-Xuan Lu , An-Wei Zhu , Christine E. Frank , Xin-Yi Huang , Xin-Yu Luo

We propose an efficient strategy to find optimal control functions for state-to-state quantum control problems. Our procedure first chooses an input state trajectory, that can realize the desired transformation by adiabatic variation of the…

Two-atom systems in small traps are of fundamental interest, first of all for understanding the role of interactions in degenerate cold gases and for the creation of quantum gates in quantum information processing with single-atom traps.…

We have realized Bose-Einstein condensation (BEC) of 87Rb in the F=2, m_F=2 hyperfine substate in a hybrid trap, consisting of a quadrupole magnetic field and a single optical dipole beam. The symmetry axis of the quadrupole magnetic trap…

Quantum Gases · Physics 2015-02-23 Hari Prasad Mishra , Adonis Silva Flores , Wim Vassen , Steven Knoop

A single trapped ion interacting with laser light in a radiofrequency trap is considered by diagonalization of full Hamiltonian of the system in a suitable basis. The energies, eigenvectors, probabilities of finding the atom in the ground…

Quantum Physics · Physics 2017-05-31 Ghasem Asadi Cordshooli , Mehdi Mirzaee

Starting from a degenerate Bose gas in a hybrid trap combining a magnetic quadrupole trap and an attractive optical trap resulting from a focused laser beam, we demonstrate the efficient loading of this quantum gas into a shell-shaped trap.…