skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Quantum optimal control of multiple weakly interacting molecular rotors in the time-dependent Hartree approximation

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.5091520· OSTI ID:1609378

In this work we perform quantum optimal control simulations, based on the Time-Dependent Hartree (TDH) approximation, for systems of three to five dipole-dipole coupled OCS rotors. A control electric field is used to steer all of the individual rotors, arranged in chains and regular polygons in a plane, toward either identical or unique objectives. The goal is to explore the utility of the TDH approximation to model the field-induced dynamics of multiple interacting rotors in the weak dipole-dipole coupling regime. A stochastic hill climbing approach is employed to seek an optimal control field that achieves the desired objectives at a specified target time. We first show that multiple rotors in chain and polygon geometries can be identically oriented in the same direction; these cases do not significantly depend on the presence of the dipole-dipole interaction. Additionally, in particular geometrical arrangements, we demonstrate that individual rotors can be uniquely manipulated toward different objectives with the same field. Specifically, it is shown that for a three rotor chain, the two end rotors can be identically oriented in a specific direction while keeping the middle rotor in its ground state, and for an equilateral triangle, two rotors can be identically oriented in a specific direction while the third rotor is oriented in the opposite direction. These multirotor unique objective cases exploit the shape of the field in coordination with dipole-dipole coupling between the rotors. Comparisons to numerically exact calculations, utilizing the TDH-determined fields, are given for all optimal control studies involving systems of three rotors.

Research Organization:
Princeton Univ., NJ (United States); Krell Institute, Ames, IA (United States)
Sponsoring Organization:
USDOE Office of Science (SC); US Army Research Office (ARO)
Grant/Contract Number:
FG02-02ER15344; FG02-97ER25308; ARO W911NF-16-1-0014
OSTI ID:
1609378
Alternate ID(s):
OSTI ID: 1508434
Journal Information:
Journal of Chemical Physics, Vol. 150, Issue 16; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

References (55)

Toward scalable information processing with ultracold polar molecules in an electric field: A numerical investigation journal December 2010
A semi-classical implementation of quantum control using Gaussian wave packet dynamics journal August 1995
One-dimensional nuclear dynamics in the time-dependent Hartree-Fock approximation journal March 1976
Singularity-free quantum tracking control of molecular rotor orientation journal October 2018
Quantum control of I2 wave packet localization in solid argon matrix journal February 2000
Reactions of Oriented Molecules journal July 1976
Quantum error correction in a solid-state hybrid spin register journal February 2014
High-harmonic spectroscopy of oriented OCS molecules: emission of even and odd harmonics text January 2012
Condensed Matter Theory of Dipolar Quantum Gases journal April 2012
Dissociation dynamics of Ar3 in the time-dependent self-consistent field (TDSCF) approximation journal October 1983
Optimal control of orientation and entanglement for two dipole–dipole coupled quantum planar rotors journal January 2018
Quantum Computation using Arrays of N Polar Molecules in Pendular States journal October 2016
Optimal control of interacting particles: a multi-configuration time-dependent Hartree–Fock approach journal October 2009
Molecular Dipole Moments and Stark Effects. II. Stark Effects in OCS journal February 1950
Quantum control of alignment and orientation of molecules by optimized laser pulses journal June 2001
Two-pulse coherent control of electronic branching in Li2 photodissociation journal March 1998
Dynamics of metal electron excitation in atom-surface collisions: A quantum wave packet approach journal February 1984
Photonic generation of microwave arbitrary waveforms journal July 2011
Quantum observable homotopy tracking control journal October 2005
Dynamics of metal electron excitation in atom-surface collisions: A quantum wave packet approach journal February 1984
Time-dependent methods to study the dissociation dynamics of tri- and tetra-atomic clusters journal May 2002
New formulations of monotonically convergent quantum control algorithms journal May 2003
Quantum control of multidimensional systems Implementation within the time‐dependent Hartree approximation journal January 1996
Control of selectivity of chemical reaction via control of wave packet evolution journal November 1985
Pair-eigenstates and mutual alignment of coupled molecular rotors in a magnetic field journal January 2016
Control of molecular orientation with combined near-single-cycle THz and optimally designed non-resonant laser pulses: Carrier-envelope phase effects journal July 2015
Photonic synthesis of broadband microwave arbitrary waveforms applicable to ultra-wideband communication journal April 2005
Chopped random-basis quantum optimization journal August 2011
Directional Dynamics in the Photodissociation of Oriented Molecules journal March 2004
Note on Exchange Phenomena in the Thomas Atom journal July 1930
Laser Control of Chemical Reactions journal March 1998
Time-dependent mean-field approximation for nuclear dynamical problems journal April 1980
High-Harmonic Spectroscopy of Oriented OCS Molecules: Emission of Even and Odd Harmonics journal December 2012
Femtosecond laser pulse control of multidimensional vibrational dynamics: Computational studies on the pyrazine molecule journal July 2006
Multi-polarization quantum control of rotational motion through dipole coupling journal February 2010
Optimal molecular alignment and orientation through rotational ladder climbing journal October 2005
Vibrational eigenvalues and eigenfunctions for planar acetylene by wave-packet propagation, and its mode-selective infrared excitation journal September 1997
Colloquium : Optimal control of high-harmonic generation journal January 2008
Implementation of an iterative algorithm for optimal control of molecular dynamics into MCTDH journal January 2008
On self-consistent and stochastic treatments of V—T energy transfer in collinear atom-diatom collisions journal September 1977
Quantum phases of dipolar rotors on two-dimensional lattices journal March 2018
A rapid monotonically convergent iteration algorithm for quantum optimal control over the expectation value of a positive definite operator journal July 1998
Quantum Computation with Trapped Polar Molecules journal January 2002
High-fidelity spin entanglement using optimal control journal February 2014
Microwave Spectra of Molecules of Astrophysical Interest VI. Carbonyl Sulfide and Hydrogen Cyanide journal January 1974
Quantum Molecular Dynamics of Ultrafast Processes in Large Polyatomic Systems journal June 1999
Chopped random-basis quantum optimization text January 2011
Condensed Matter Theory of Dipolar Quantum Gases text January 2012
Quantum error correction in a solid-state hybrid spin register text January 2013
Pair-eigenstates and mutual alignment of coupled molecular rotors in a magnetic field text January 2016
Quantum computation using arrays of N polar molecules in pendular states preprint January 2016
Quantum phases of dipolar rotors on two-dimensional lattices text January 2018
Singularity-free quantum tracking control of molecular rotor orientation text January 2018
Optimal molecular alignment and orientation through rotational ladder climbing text January 2005
Quantum computation with trapped polar molecules text January 2001

Cited By (1)

Implementation of three-qubit quantum computation with pendular states of polar molecules by optimal control journal January 2020