Using feedback for coherent control of quantum systems

A longstanding goal in chemical physics has been the control of atoms and molecules using coherent light fields. This paper provides a brief overview of the field and discusses experiments that use a programmable pulse shaper to control the quantum state of electronic wavepackets in Rydberg atoms and electronic and nuclear dynamics in molecular liquids. The shape of Rydberg wavepackets was controlled by using tailored ultrafast pulses to excite a beam of caesium atoms. The quantum state of these atoms was measured using holographic techniques borrowed from optics. The experiments with molecular liquids involved the construction of an automated learning machine. A genetic algorithm directed the choice of shaped pulses which interacted with the molecular system inside a learning control loop. Analysis of successful pulse shapes that were found by using the genetic algorithm yield insight into the systems being controlled.

[1]  P. Corkum,et al.  Femtosecond continua produced in gases , 1989 .

[2]  Herschel Rabitz,et al.  Coherent Control of Quantum Dynamics: The Dream Is Alive , 1993, Science.

[3]  Schumacher,et al.  Ramsey interference in strongly driven Rydberg systems. , 1993, Physical review letters.

[4]  John E. Sipe,et al.  OBSERVATION OF COHERENTLY CONTROLLED PHOTOCURRENT IN UNBIASED, BULK GAAS , 1997 .

[5]  Kompa,et al.  Whither the future of controlling quantum phenomena? , 2000, Science.

[6]  G. Korn,et al.  RAMAN SELF-CONVERSION OF FEMTOSECOND LASER PULSES AND GENERATION OF SINGLE-CYCLE RADIATION , 1998 .

[7]  T. Seideman Phase-sensitive observables as a route to understanding molecular continua , 1999 .

[8]  P. Bucksbaum Photonics: An atomic dimmer switch , 1998, Nature.

[9]  Andrew M. Weiner,et al.  Femtosecond optical pulse shaping and processing , 1995 .

[10]  Hiroshi Harima,et al.  Optical control of coherent optical phonons in bismuth films , 1996 .

[11]  D N Fittinghoff,et al.  Measurement of the intensity and phase of ultraweak, ultrashort laser pulses. , 1996, Optics letters.

[12]  Y. Prior,et al.  Two-dimensional time-delayed coherent anti-Stokes Raman spectroscopy and wavepacket dynamics of high ground-state vibrations , 2000 .

[13]  G. Wiederrecht,et al.  Femtosecond Pulse Sequences Used for Optical Manipulation of Molecular Motion , 1990, Science.

[14]  H. Paul,et al.  Measuring the quantum state of light , 1997 .

[15]  G. Korn,et al.  Observation of Raman Self-Conversion of fs-Pulse Frequency due to Impulsive Excitation of Molecular Vibrations , 1998 .

[16]  M. Dantus,et al.  Coherent nonlinear spectroscopy: from femtosecond dynamics to control. , 2001, Annual review of physical chemistry (Print).

[17]  P. Bucksbaum,et al.  Information storage and retrieval through quantum phase , 2000, Science.

[18]  R. Planel,et al.  Coherent Control of the Optical Orientation of Excitons in Quantum Wells , 1997 .

[19]  Stuart A. Rice,et al.  Control of selectivity of chemical reaction via control of wave packet evolution , 1985 .

[20]  Yaochun Shen Principles of nonlinear optics , 1984 .

[21]  W. Cooke,et al.  Interactions of Blackbody Radiation with Atoms , 1979 .

[22]  O. Faucher,et al.  Shaping of a ground state rotational wavepacket by frequency-chirped pulses , 2001 .

[23]  Paul Brumer,et al.  Control of unimolecular reactions using coherent light , 1986 .

[24]  Martin Wegener,et al.  Coherent Control of Electron-LO-Phonon Scattering in Bulk GaAs , 1998 .

[25]  G. Gerber,et al.  Problem complexity in femtosecond quantum control , 2001 .

[26]  L. Humphrey,et al.  Field ionization of highly excited states of sodium , 1977 .

[27]  Gerber,et al.  Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses , 1998, Science.

[28]  N. Bloembergen,et al.  Forward picosecond Stokes-pulse generation in transient stimulated Raman scattering , 1969 .

[29]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[30]  Karen Trentelman,et al.  Coherent Laser Control of the Product Distribution Obtained in the Photoexcitation of HI , 1995, Science.

[31]  V. Blanchet,et al.  TEMPORAL COHERENT CONTROL IN THE PHOTOIONIZATION OF CS2: THEORY AND EXPERIMENT , 1998 .

[32]  Gerard Mourou,et al.  Compression of amplified chirped optical pulses , 1985 .

[33]  Rick Trebino,et al.  Measuring ultrashort laser pulses in the time-frequency domain using frequency-resolved optical gating , 1997 .

[34]  Andrew M. Weiner,et al.  Programmable shaping of femtosecond optical pulses by use of 128-element liquid crystal phase modulator , 1992 .

[35]  Moshe Shapiro,et al.  Quantum State Holography , 1998 .

[36]  H. Rabitz,et al.  Coherent learning control of vibrational motion in room temperature molecular gases , 2001 .

[37]  D. Yeager,et al.  Purely theoretical electron-impact ionization cross-sections of silicon hydrides and silicon fluorides obtained from explicitly correlated methods , 2000 .

[38]  Lawrence. Davis,et al.  Handbook Of Genetic Algorithms , 1990 .

[39]  Averbukh,et al.  Measuring coherence while observing noise. , 1995, Physical review letters.

[40]  P. H. Bucksbaum,et al.  Coherent control using adaptive learning algorithms , 2001 .

[41]  H. Rabitz,et al.  Teaching lasers to control molecules. , 1992, Physical review letters.

[42]  M Spanner,et al.  Forced molecular rotation in an optical centrifuge. , 2000, Physical review letters.

[43]  T. Leisner,et al.  Feedback optimization of shaped femtosecond laser pulses for controlling the wavepacket dynamics and reactivity of mixed alkaline clusters , 2001 .

[44]  H. Everitt,et al.  Control of coherent acoustic phonons in semiconductor quantum wells. , 2001, Physical review letters.

[45]  I. Christov,et al.  Shaped-pulse optimization of coherent emission of high-harmonic soft X-rays , 2000, Nature.

[46]  J. Paye,et al.  The chronocyclic representation of ultrashort light pulses , 1992 .

[47]  Charles G. Durfee,et al.  High power ultrafast lasers , 1998 .

[48]  S. Leone,et al.  Phase-Tailoring Molecular Wave Packets to Time-Shift Their Dynamics , 2001 .

[49]  M. Cherry South African official quits ministry post , 1998, Nature.

[50]  Yaron Silberberg,et al.  Coherent quantum control of two-photon transitions by a femtosecond laser pulse , 1998, Nature.

[51]  J. Vala,et al.  Impulsive Control of Ground Surface Dynamics of I3- in Solution , 2001 .

[52]  Bernard Prade,et al.  Measurement of the nonlinear refractive index of transparent materials by spectral analysis after nonlinear propagation , 1995 .

[53]  C. S. Wang,et al.  THEORY OF STOKES PULSE SHAPES IN TRANSIENT STIMULATED RAMAN SCATTERING. , 1970 .

[54]  N. J. Druten,et al.  Adiabatic stabilization: observation of the surviving population , 1997 .

[55]  Gammon,et al.  Coherent optical control of the quantum state of a single quantum Dot , 1998, Science.

[56]  Adelbert Owyoung,et al.  Origin of the Nonlinear Refractive Index of Liquid C Cl 4 , 1971 .

[57]  Vladislav V. Yakovlev,et al.  Feedback quantum control of molecular electronic population transfer , 1997 .

[58]  V. A. Apkarian,et al.  Quantum control of I2 in the gas phase and in condensed phase solid Kr matrix , 1997 .

[59]  H Rabitz,et al.  Selective Bond Dissociation and Rearrangement with Optimally Tailored, Strong-Field Laser Pulses , 2001, Science.

[60]  Hai-Woong Lee,et al.  Theory and application of the quantum phase-space distribution functions , 1995 .

[61]  Zare,et al.  Laser control of chemical reactions , 1998, Science.

[62]  William H. Press,et al.  Numerical recipes in C. The art of scientific computing , 1987 .