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Chinese Physics B

Adiabatic cooling for cold polar molecules on a chip using a controllable high-efficiency electrostatic surface trap

Shengqiang Li, Liang Xu, Yong Xia, Hailing Wang, Jianping Yin

Published Nov 28, 2014• 9 citations
Publisher

Abstract

We propose a controllable high-efficiency electrostatic surface trap for cold polar molecules on a chip by using two insulator-embedded charged rings and a grounded conductor plate. We calculate Stark energy structure pattern of ND3 molecules in an external electric field using the method of matrix diagonalization. We analyze how the voltages that are applied to the ring electrodes affect the depth of the efficient well and the controllability of the distance between the trap center and the surface of the chip. To obtain a better understanding, we simulate the dynamical loading and trapping processes of ND 3 molecules in a | J , KM 〉 = |1, − 1〉 state by using classical Monte—Carlo method. Our study shows that the loading efficiency of our trap can reach ∼ 88%. Finally, we study the adiabatic cooling of cold molecules in our surface trap by linearly lowering the potential-well depth (i.e., lowering the trapping voltage), and find that the temperature of the trapped ND3 molecules can be adiabatically cooled from 34.5 mK to ∼ 5.8 mK when the trapping voltage is reduced from −35 kV to −3 kV.

DOI
10.1088/1674-1056/23/12/123701

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We propose a controllable high-efficiency electrostatic surface trap for cold polar molecules on a chip by using two insulator-embedded charged rings and a grounded conductor plate. We calculate Stark energy structure pattern of ND3 molecules in an external electric field using the method of matrix diagonalization. We analyze how the voltages that are applied to the ring electrodes affect the depth of the efficient well and the controllability of the distance between the trap center and the surface of the chip. To obtain a better understanding, we simulate the dynamical loading and trapping processes of ND 3 molecules in a | J , KM 〉 = |1, − 1〉 state by using classical Monte—Carlo method. Our study shows that the loading efficiency of our trap can reach ∼ 88%. Finally, we study the adiabatic cooling of cold molecules in our surface trap by linearly lowering the potential-well depth (i.e., lowering the trapping voltage), and find that the temperature of the trapped ND3 molecules can be adiabatically cooled from 34.5 mK to ∼ 5.8 mK when the trapping voltage is reduced from −35 kV to −3 kV.
We propose a simple scheme for trapping cold polar molecules in low-field seeking states on the surface of a chip by using a grounded metal plate and two finite-length charged wires that half embanked in an insulating substrate, calculate the electric field distributions generated by our charged-wire layout in free space and the corresponding Stark potentials for ND3 molecules, and analyze the dependence of the trapping center position on the geometric parameters. Moreover, the loading and trapping processes of cold ND3 molecules are studied by using the Monte Carlo method. Our study shows that the loading efficiency of the trap scheme can reach 11.5%, and the corresponding temperature of the trapped cold molecules is about 26.4 mK.
We propose a simple scheme for trapping cold polar molecules in low-field seeking states on the surface of a chip by using a grounded metal plate and two finite-length charged wires that half embanked in an insulating suhstrate, calculate the electric field distributions generated by our charged-wire layout in free space and the corresponding Stark potentials for ND3 molecules, and analyze the dependence of the trapping center position on the geometric parameters. Moreover, the loading and trapping processes of cold ND3 molecules are studied by using the Monte Carlo method. Our study shows that the loading efficiency of the trap scheme can reach 11.5%, and the corresponding temperature of the trapped cold molecules is about 26.4 inK.
We propose a novel scheme to trap cold polar molecules on the surface of an insulating substrate (i.e. a chip) by using an inhomogeneous electrostatic field, which is generated by the combination of a circular charged wire (a ring electrode) and a grounded metal plate. The spatial distributions of the electrostatic field from the above charged wire layout and its Stark potentials for CO molecules are calculated. Our study shows that when the voltage applied to the wire is U = 15 kV, a ring radius is R = 5 mm, the thickness of the insulating substrate is b = 5 mm, and a wire radius is r = 1 mm, the maximum efficient trapping potential (i.e., as equivalent temperature) for CO molecules is greater than 141.7 mK, which is high enough to trap cold polar molecules with a temperature of 50 mK in the low-field-seeking states.
An electrostatic trap for polar molecules is proposed. Loading and trapping of polar molecules can be realized by applying different voltages to the two electrodes of the trap. For ND 3 molecular beams centered at ∼10 m/s, a high loading efficiency of ∼67% can be obtained, as confirmed by our Monte Carlo simulations. The volume of our trap is as large as ∼3.6 cm 3 , suitable for study of the adiabatic cooling of trapped molecules. Our simulations indicate that trapped ND 3 molecules can be cooled from ∼23.3 mK to 1.47 mK by reducing the trapping voltages on the electrodes from 50.0 kV to 1.00 kV.
In order to meet the demands for laser manipulations and detection of cold molecules, we propose an optically accessible and controllable electrostatic surface storage ring for cold polar molecules on a chip, which is one based on extension and application of the three-wire surface guiding scheme [J. Opt. Soc. Am. B25, 1214 (2008)]. To our knowledge, this is the first real surface storage ring scheme. The spatial distribution of the electrostatic fields generated by two insulator-embedded charged rings and a grounded conductor plate is numerically calculated. Relationships between the height of the trap center above the surface and the setup parameters are analyzed in detail. Using OH radical molecules as a tester, the range of molecular velocities that the storage ring can confine is investigated. The dynamical process of weak-field-seeking OH molecules of state |J,KM〉=|3/2,−9/4〉 being loaded into and confined in the storage ring is studied using Monte Carlo simulations. Dependencies of translational temperature of molecules and their trapping efficiency in the storage ring on parameters of the setup and the initial molecular beam are examined. By incorporating a bunching function into our scheme, the number of round trips a trapped molecular packet makes can be improved by almost three times before getting spread out to fill the whole storage ring, as confirmed by numerical simulations.
We propose a novel optical-access opened electrostatic trap to study the Stark-potential evaporative cooling of polar molecules by using two charged disk electrodes with a central hole of radius r 0 =1.5 mm, and derive a set of new analytical equations to calculate the spatial distributions of the electrostatic field in the above charged-disk layout. Afterwards, we calculate the electric-field distributions of our electrostatic trap and the Stark potential for cold ND 3 molecules, and analyze the dependences of both the electric field and the Stark potential on the geometric parameters of our charged-disk scheme, and find an optimal condition to form a desirable trap with the same trap depth in the x , y , and z directions. Also, we propose a desirable scheme to realize an efficient loading of cold polar molecules in the weak-field-seeking states, and investigate the dependences of the loading efficiency on both the initial forward velocity of the incident molecular beam and the loading time by Monte Carlo simulations. Our study shows that the maximal loading efficiency of our trap scheme can reach about 95%, and the corresponding temperature of the trapped cold molecules is about 28.8 mK. Finally, we study the Stark-potential evaporative cooling for cold polar molecules in our trap by the Monte Carlo method, and find that our simulated evaporative cooling results are consistent with our developed analytical model based on trapping-potential evaporative cooling.