Optimal control of orientation and entanglement for two dipole–dipole coupled quantum planar rotors

Yu, Hongling; Ho, Tak-San; Rabitz, Herschel

doi:10.1039/c8cp00231b

Optimal control of orientation and entanglement for two dipole–dipole coupled quantum planar rotors

Journal Article · Sun Dec 31 23:00:00 EST 2017 · Physical Chemistry Chemical Physics. PCCP (Print)

DOI:https://doi.org/10.1039/c8cp00231b· OSTI ID:1539995

Yu, Hongling ^[1]; Ho, Tak-San ^[2]; ^[2]

State Key Laboratory of Precision; East China Normal University; Shanghai 200062; China; Department of Chemistry; DOE/OSTI
Department of Chemistry; Princeton University; Princeton; USA

Optimal control simulations are performed for orientation and entanglement of two dipole–dipole coupled identical quantum rotors.

Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: FG02-02ER15344

OSTI ID:: 1539995

Journal Information:: Physical Chemistry Chemical Physics. PCCP (Print), Journal Name: Physical Chemistry Chemical Physics. PCCP (Print) Journal Issue: 18 Vol. 20; ISSN 1463-9076; ISSN PPCPFQ

Publisher:: Royal Society of Chemistry

Country of Publication:: United States

Language:: English

References (84)

Optimal Control of Multiphoton Ionization Processes in Aligned I 2 Molecules with Time-Dependent Polarization Pulses Suzuki, Takayuki; Minemoto, Shinichirou; Kanai, Tsuneto Physical Review Letters, Vol. 92, Issue 13 https://doi.org/10.1103/PhysRevLett.92.133005	journal	April 2004
Optimal control of quantum-mechanical systems: Existence, numerical approximation, and applications Peirce, Anthony P.; Dahleh, Mohammed A.; Rabitz, Herschel Physical Review A, Vol. 37, Issue 12, p. 4950-4964 https://doi.org/10.1103/PhysRevA.37.4950	journal	June 1988
Accelerated monotonic convergence of optimal control over quantum dynamics Ho, Tak-San; Rabitz, Herschel Physical Review E, Vol. 82, Issue 2 https://doi.org/10.1103/PhysRevE.82.026703	journal	August 2010
Monotonic convergent quantum optimal control method with exact equality constraints on the optimized control fields Shu, Chuan-Cun; Ho, Tak-San; Rabitz, Herschel Physical Review A, Vol. 93, Issue 5 https://doi.org/10.1103/PhysRevA.93.053418	journal	May 2016
Whither the Future of Controlling Quantum Phenomena? Rabitz, Herschel; de Vivie-Riedle, Regina; Motzkus, Marcus Science, Vol. 288, Issue 5467, p. 824-828 https://doi.org/10.1126/science.288.5467.824	journal	May 2000
Exploring the transition-probability-control landscape of open quantum systems: Application to a two-level case Yang, Fei; Cong, Shuang; Long, Ruixing Physical Review A, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevA.88.033420	journal	September 2013
Topology of optimally controlled quantum mechanical transition probability landscapes Rabitz, H.; Ho, T. -S.; Hsieh, M. Physical Review A, Vol. 74, Issue 1 https://doi.org/10.1103/PhysRevA.74.012721	journal	July 2006
Orienting coupled quantum rotors by ultrashort laser pulses Shima, Hiroyuki; Nakayama, Tsuneyoshi Physical Review A, Vol. 70, Issue 1 https://doi.org/10.1103/PhysRevA.70.013401	journal	July 2004
Robustness of adiabatic quantum computation Childs, Andrew M.; Farhi, Edward; Preskill, John Physical Review A, Vol. 65, Issue 1 https://doi.org/10.1103/PhysRevA.65.012322	journal	December 2001
Wavepacket dancing: Achieving chemical selectivity by shaping light pulses Kosloff, R.; Rice, S. A.; Gaspard, P. Chemical Physics, Vol. 139, Issue 1 https://doi.org/10.1016/0301-0104(89)90012-8	journal	December 1989
Alignment-Dependent Strong Field Ionization of Molecules Litvinyuk, I. V.; Lee, Kevin F.; Dooley, P. W. Physical Review Letters, Vol. 90, Issue 23 https://doi.org/10.1103/PhysRevLett.90.233003	journal	June 2003
Dielectric anomaly in coupled rotor systems Shima, Hiroyuki; Nakayama, Tsuneyoshi Physical Review B, Vol. 69, Issue 3 https://doi.org/10.1103/PhysRevB.69.035202	journal	January 2004
Laser-Field-Free Molecular Orientation Goban, Akihisa; Minemoto, Shinichirou; Sakai, Hirofumi Physical Review Letters, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRevLett.101.013001	journal	June 2008
Making the Best of Mixed-Field Orientation of Polar Molecules: A Recipe for Achieving Adiabatic Dynamics in an Electrostatic Field Combined with Laser Pulses Nielsen, Jens H.; Stapelfeldt, Henrik; Küpper, Jochen Physical Review Letters, Vol. 108, Issue 19 https://doi.org/10.1103/PhysRevLett.108.193001	journal	May 2012
High-Order Harmonic Generation in Aligned Molecules Velotta, R.; Hay, N.; Mason, M. B. Physical Review Letters, Vol. 87, Issue 18 https://doi.org/10.1103/PhysRevLett.87.183901	journal	October 2001
Generalized monotonically convergent algorithms for solving quantum optimal control problems Ohtsuki, Yukiyoshi; Turinici, Gabriel; Rabitz, Herschel The Journal of Chemical Physics, Vol. 120, Issue 12 https://doi.org/10.1063/1.1650297	journal	March 2004
Quantum entanglement Horodecki, Ryszard; Horodecki, Paweł; Horodecki, Michał Reviews of Modern Physics, Vol. 81, Issue 2 https://doi.org/10.1103/RevModPhys.81.865	journal	June 2009
Topology of classical molecular optimal control landscapes for multi-target objectives Joe-Wong, Carlee; Ho, Tak-San; Rabitz, Herschel The Journal of Chemical Physics, Vol. 142, Issue 15 https://doi.org/10.1063/1.4918274	journal	April 2015
Quantum observable homotopy tracking control Rothman, Adam; Ho, Tak-San; Rabitz, Herschel The Journal of Chemical Physics, Vol. 123, Issue 13 https://doi.org/10.1063/1.2042456	journal	October 2005
Prospects for quantum computing with an array of ultracold polar paramagnetic molecules Karra, Mallikarjun; Sharma, Ketan; Friedrich, Bretislav The Journal of Chemical Physics, Vol. 144, Issue 9 https://doi.org/10.1063/1.4942928	journal	March 2016
Controlled dissociation of I2 via optical transitions between the X and B electronic states Somlói, József; Kazakov, Vladimir A.; Tannor, David J. Chemical Physics, Vol. 172, Issue 1 https://doi.org/10.1016/0301-0104(93)80108-L	journal	May 1993
Implementation of quantum logic gates using polar molecules in pendular states Zhu, Jing; Kais, Sabre; Wei, Qi The Journal of Chemical Physics, Vol. 138, Issue 2 https://doi.org/10.1063/1.4774058	journal	January 2013
Photonic synthesis of broadband microwave arbitrary waveforms applicable to ultra-wideband communication Lin, I. S.; McKinney, J. D.; Weiner, A. M. IEEE Microwave and Wireless Components Letters, Vol. 15, Issue 4 https://doi.org/10.1109/LMWC.2005.845698	journal	April 2005
Surface plasmon enhanced substrate mediated photochemistry on roughened silver Kidd, Robert T.; Lennon, David; Meech, Stephen R. The Journal of Chemical Physics, Vol. 113, Issue 18 https://doi.org/10.1063/1.1316106	journal	November 2000
Numerical modelling of the excitation energy dependence of adsorbate photochemistry at metal surfaces Vondrak, Tomas; Burke, Daren J.; Meech, Stephen R. Chemical Physics Letters, Vol. 347, Issue 1-3 https://doi.org/10.1016/S0009-2614(01)01036-3	journal	October 2001
ANTHRAX INVESTIGATION: FBI Discusses Microbial Forensics--but Key Questions Remain Unanswered Bhattacharjee, Y.; Enserink, M. Science, Vol. 321, Issue 5892 https://doi.org/10.1126/science.321.5892.1026	journal	August 2008
Microwave photonics combines two worlds Capmany, José; Novak, Dalma Nature Photonics, Vol. 1, Issue 6 https://doi.org/10.1038/nphoton.2007.89	journal	June 2007
Nanometer Resolution and Coherent Optical Dipole Coupling of Two Individual Molecules Hettich, C. Science, Vol. 298, Issue 5592 https://doi.org/10.1126/science.1075606	journal	September 2002
Exploring the control landscape for nonlinear quantum dynamics Yan, Julia; Hocker, David; Long, Ruixing Physical Review A, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevA.89.063408	journal	June 2014
Why do effective quantum controls appear easy to find? Ho, Tak-San; Rabitz, Herschel Journal of Photochemistry and Photobiology A: Chemistry, Vol. 180, Issue 3 https://doi.org/10.1016/j.jphotochem.2006.03.038	journal	June 2006
Quantum control of alignment and orientation of molecules by optimized laser pulses Hoki, K.; Fujimura, Y. Chemical Physics, Vol. 267, Issue 1-3 https://doi.org/10.1016/S0301-0104(01)00255-5	journal	June 2001
Accurate time propagation for the Schrödinger equation with an explicitly time-dependent Hamiltonian Kormann, Katharina; Holmgren, Sverker; Karlsson, Hans O. The Journal of Chemical Physics, Vol. 128, Issue 18 https://doi.org/10.1063/1.2916581	journal	May 2008
Exploring the level sets of quantum control landscapes Rothman, Adam; Ho, Tak-San; Rabitz, Herschel Physical Review A, Vol. 73, Issue 5 https://doi.org/10.1103/PhysRevA.73.053401	journal	May 2006
Tridiagonal Toeplitz matrices: properties and novel applications: TRIDIAGONAL TOEPLITZ MATRICES Noschese, Silvia; Pasquini, Lionello; Reichel, Lothar Numerical Linear Algebra with Applications, Vol. 20, Issue 2 https://doi.org/10.1002/nla.1811	journal	March 2012
A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem Farhi, E.; Goldstone, J.; Gutmann, S. Science, Vol. 292, Issue 5516 https://doi.org/10.1126/science.1057726	journal	April 2001
Terahertz-Induced Field-Free Orientation of Rotationally Excited Molecules Egodapitiya, K. N.; Li, Sha; Jones, R. R. Physical Review Letters, Vol. 112, Issue 10 https://doi.org/10.1103/PhysRevLett.112.103002	journal	March 2014
Microwave Spectra of Molecules of Astrophysical Interest VI. Carbonyl Sulfide and Hydrogen Cyanide Maki, Arthur G. Journal of Physical and Chemical Reference Data, Vol. 3, Issue 1 https://doi.org/10.1063/1.3253139	journal	January 1974
Free-time and fixed end-point optimal control theory in quantum mechanics: Application to entanglement generation Mishima, K.; Yamashita, K. The Journal of Chemical Physics, Vol. 130, Issue 3 https://doi.org/10.1063/1.3062860	journal	January 2009
Optimal control of a charge qubit in a double quantum dot with a Coulomb impurity Coden, Diego S. Acosta; Romero, Rodolfo H.; Ferrón, Alejandro Physica E: Low-dimensional Systems and Nanostructures, Vol. 86 https://doi.org/10.1016/j.physe.2016.09.020	journal	February 2017
Tailoring laser pulses with spectral and fluence constraints using optimal control theory Werschnik, J.; Gross, E. K. U. Journal of Optics B: Quantum and Semiclassical Optics, Vol. 7, Issue 10 https://doi.org/10.1088/1464-4266/7/10/014	journal	September 2005
Adiabatic approximation with exponential accuracy for many-body systems and quantum computation Lidar, Daniel A.; Rezakhani, Ali T.; Hamma, Alioscia Journal of Mathematical Physics, Vol. 50, Issue 10 https://doi.org/10.1063/1.3236685	journal	October 2009
Field-free molecular orientation by terahertz laser pulses at high temperature Lapert, M.; Sugny, D. Physical Review A, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevA.85.063418	journal	June 2012
Orienting CO molecules with an optimal combination of THz and laser pulses: Optimal control simulation with specified pulse amplitude and fluence Yoshida, Masataka; Ohtsuki, Yukiyoshi Physical Review A, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevA.90.013415	journal	July 2014
Deflection of Neutral Molecules using the Nonresonant Dipole Force Stapelfeldt, H.; Sakai, Hirofumi; Constant, E. Physical Review Letters, Vol. 79, Issue 15 https://doi.org/10.1103/PhysRevLett.79.2787	journal	October 1997
Frequency domain quantum optimal control under multiple constraints Shu, Chuan-Cun; Ho, Tak-San; Xing, Xi Physical Review A, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevA.93.033417	journal	March 2016
A High Phase-Space-Density Gas of Polar Molecules Ni, K. -K.; Ospelkaus, S.; de Miranda, M. H. G. Science, Vol. 322, Issue 5899 https://doi.org/10.1126/science.1163861	journal	October 2008
Review of high-power microwave source research Gold, Steven H.; Nusinovich, Gregory S. Review of Scientific Instruments, Vol. 68, Issue 11 https://doi.org/10.1063/1.1148382	journal	November 1997
Photonic generation of microwave arbitrary waveforms Yao, Jianping Optics Communications, Vol. 284, Issue 15 https://doi.org/10.1016/j.optcom.2011.02.069	journal	July 2011
Rapidly convergent iteration methods for quantum optimal control of population Zhu, Wusheng; Botina, Jair; Rabitz, Herschel The Journal of Chemical Physics, Vol. 108, Issue 5 https://doi.org/10.1063/1.475576	journal	February 1998
Optimal local control of coherent dynamics in custom-made nanostructures Blasi, Thomas; Borunda, Mario F.; Räsänen, Esa Physical Review B, Vol. 87, Issue 24 https://doi.org/10.1103/PhysRevB.87.241303	journal	June 2013
Molecular Orientation and Alignment by Intense Single-Cycle THz Pulses Fleischer, Sharly; Zhou, Yan; Field, Robert W. Physical Review Letters, Vol. 107, Issue 16 https://doi.org/10.1103/PhysRevLett.107.163603	journal	October 2011
Optimal control of selective vibrational excitation in harmonic linear chain molecules Shi, Shenghua; Woody, Andrea; Rabitz, Herschel The Journal of Chemical Physics, Vol. 88, Issue 11 https://doi.org/10.1063/1.454384	journal	June 1988
Optimal molecular alignment and orientation through rotational ladder climbing Salomon, Julien; Dion, Claude M.; Turinici, Gabriel The Journal of Chemical Physics, Vol. 123, Issue 14 https://doi.org/10.1063/1.2049270	journal	October 2005
Entanglement of angular momenta of atoms and molecules Mishima, K.; Yamashita, K. International Journal of Quantum Chemistry, Vol. 108, Issue 8 https://doi.org/10.1002/qua.21644	journal	January 2008
Controlling polar molecules in optical lattices Kotochigova, S.; Tiesinga, E. Physical Review A, Vol. 73, Issue 4 https://doi.org/10.1103/PhysRevA.73.041405	journal	April 2006
Two-State Wave Packet for Strong Field-Free Molecular Orientation Trippel, Sebastian; Mullins, Terry; Müller, Nele L. M. Physical Review Letters, Vol. 114, Issue 10 https://doi.org/10.1103/PhysRevLett.114.103003	journal	March 2015
A rapid monotonically convergent iteration algorithm for quantum optimal control over the expectation value of a positive definite operator Zhu, Wusheng; Rabitz, Herschel The Journal of Chemical Physics, Vol. 109, Issue 2 https://doi.org/10.1063/1.476575	journal	July 1998
Angular Focusing, Squeezing, and Rainbow Formation in a Strongly Driven Quantum Rotor Averbukh, I. Sh.; Arvieu, R. Physical Review Letters, Vol. 87, Issue 16 https://doi.org/10.1103/PhysRevLett.87.163601	journal	September 2001
Orientations of two coupled molecules Liao, Y. Y.; Chen, Y. N.; Chuu, D. S. Chemical Physics Letters, Vol. 398, Issue 4-6 https://doi.org/10.1016/j.cplett.2004.09.104	journal	November 2004
Quantum phase gate and controlled entanglement with polar molecules Charron, Eric; Milman, Pérola; Keller, Arne Physical Review A, Vol. 75, Issue 3 https://doi.org/10.1103/PhysRevA.75.033414	journal	March 2007
Field-Free Orientation of Molecules Machholm, Mette; Henriksen, Niels E. Physical Review Letters, Vol. 87, Issue 19 https://doi.org/10.1103/PhysRevLett.87.193001	journal	October 2001
Suppression of strong-field ionization by optimal pulse shaping: Application to hydrogen and the hydrogen molecular ion Shvetsov-Shilovski, N. I.; Madsen, L. B.; Räsänen, E. Physical Review A, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevA.91.023425	journal	February 2015
Monotonically convergent optimization in quantum control using Krotov's method Reich, Daniel M.; Ndong, Mamadou; Koch, Christiane P. The Journal of Chemical Physics, Vol. 136, Issue 10 https://doi.org/10.1063/1.3691827	journal	March 2012
Plasma physics and related challenges of millimeter-wave-to-terahertz and high power microwave generation Booske, John H. Physics of Plasmas, Vol. 15, Issue 5 https://doi.org/10.1063/1.2838240	journal	May 2008
Entanglement in many-body systems Amico, Luigi; Fazio, Rosario; Osterloh, Andreas Reviews of Modern Physics, Vol. 80, Issue 2 https://doi.org/10.1103/RevModPhys.80.517	journal	May 2008
Quantum computing using rotational modes of two polar molecules Mishima, K.; Yamashita, K. Chemical Physics, Vol. 361, Issue 1-2 https://doi.org/10.1016/j.chemphys.2009.05.014	journal	June 2009
Fast-kick-off monotonically convergent algorithm for searching optimal control fields Liao, Sheng-Lun; Ho, Tak-San; Chu, Shih-I Physical Review A, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevA.84.031401	journal	September 2011
Observable-preserving control of quantum dynamics over a family of related systems Rothman, Adam; Ho, Tak-San; Rabitz, Herschel Physical Review A, Vol. 72, Issue 2 https://doi.org/10.1103/PhysRevA.72.023416	journal	August 2005
Essential entanglement for atomic and molecular physics Tichy, Malte C.; Mintert, Florian; Buchleitner, Andreas Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 44, Issue 19 https://doi.org/10.1088/0953-4075/44/19/192001	journal	September 2011
Maximum attainable field-free molecular orientation of a thermal ensemble with near–single-cycle THz pulses Liao, Sheng-Lun; Ho, Tak-San; Rabitz, Herschel Physical Review A, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevA.87.013429	journal	January 2013
Control landscapes are almost always trap free: a geometric assessment Russell, Benjamin; Rabitz, Herschel; Wu, Re-Bing Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 20 https://doi.org/10.1088/1751-8121/aa6b77	journal	April 2017
Quantum optimal control of isomerization dynamics of a one-dimensional reaction-path model dominated by a competing dissociation channel Kurosaki, Yuzuru; Artamonov, Maxim; Ho, Tak-San The Journal of Chemical Physics, Vol. 131, Issue 4 https://doi.org/10.1063/1.3185565	journal	July 2009
Free-time and fixed end-point multi-target optimal control theory: Application to quantum computing Mishima, K.; Yamashita, K. Chemical Physics, Vol. 379, Issue 1-3 https://doi.org/10.1016/j.chemphys.2010.10.003	journal	January 2011
Molecular Alignment by Trains of Short Laser Pulses Leibscher, M.; Averbukh, I. Sh.; Rabitz, H. Physical Review Letters, Vol. 90, Issue 21 https://doi.org/10.1103/PhysRevLett.90.213001	journal	May 2003
New formulations of monotonically convergent quantum control algorithms Maday, Yvon; Turinici, Gabriel The Journal of Chemical Physics, Vol. 118, Issue 18 https://doi.org/10.1063/1.1564043	journal	May 2003
Quantum Computation with Trapped Polar Molecules DeMille, D. Physical Review Letters, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevLett.88.067901	journal	January 2002
Optimal Control Simulation of Field-Free Molecular Orientation: Alignment-Enhanced Molecular Orientation Nakajima, Katsuhiro; Abe, Hiroya; Ohtsuki, Yukiyoshi The Journal of Physical Chemistry A, Vol. 116, Issue 46 https://doi.org/10.1021/jp3052054	journal	August 2012
High-order harmonic generation in the presence of a resonance Tudorovskaya, Maria; Lein, Manfred Physical Review A, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevA.84.013430	journal	July 2011
Observation of Cumulative Spatial Focusing of Atoms Oskay, Windell H.; Steck, Daniel A.; Raizen, Mark G. Physical Review Letters, Vol. 89, Issue 28 https://doi.org/10.1103/PhysRevLett.89.283001	journal	December 2002
Coherent Control of Quantum Dynamics: The Dream Is Alive Warren, Warren S.; Rabitz, Herschel; Dahleh, Mohammed Science, Vol. 259, Issue 5101, p. 1581-1589 https://doi.org/10.1126/science.259.5101.1581	journal	March 1993
Molecular Dipole Moments and Stark Effects. II. Stark Effects in OCS Shulman, R. G.; Townes, C. H. Physical Review, Vol. 77, Issue 4 https://doi.org/10.1103/PhysRev.77.500	journal	February 1950
Quantum Optimally Controlled Transition Landscapes Rabitz, H. A. Science, Vol. 303, Issue 5666 https://doi.org/10.1126/science.1093649	journal	March 2004
Rotational entangled states between two coupled molecules Liao, Y. Y.; Chen, Y. N.; Li, C. M. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 39, Issue 2 https://doi.org/10.1088/0953-4075/39/2/016	journal	December 2005
Control of molecular orientation with combined near-single-cycle THz and optimally designed non-resonant laser pulses: Carrier-envelope phase effects Yoshida, Masataka; Ohtsuki, Yukiyoshi Chemical Physics Letters, Vol. 633 https://doi.org/10.1016/j.cplett.2015.05.041	journal	July 2015

Similar Records

Optimal control of orientation and entanglement for two dipole–dipole coupled quantum planar rotors

Journal Article · Sun Dec 31 23:00:00 EST 2017 · Physical Chemistry Chemical Physics · OSTI ID:1435371

Optimal control of coupled quantum systems based on the first-order Magnus expansion: Application to multiple dipole-dipole-coupled molecular rotors

Journal Article · Thu Jul 30 00:00:00 EDT 2020 · Physical Review A · OSTI ID:1800043

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

Journal Article · Mon Apr 22 00:00:00 EDT 2019 · Journal of Chemical Physics · OSTI ID:1609378

Related Subjects

Chemistry
Physics

Optimal control of orientation and entanglement for two dipole–dipole coupled quantum planar rotors

Citation Formats

References (84)

Similar Records

Related Subjects