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Abstract:

Given the increasing use of shortcuts to adiabaticity (STA) to optimize the power and efficiency of quantum heat engines, it becomes a relevant question if there are any theoretical limits to their application. We argue that quantum fluctuations in the control device which implements the shortcut deflect the system from the adiabatic path. This not only induces transitions to unwanted final states but also changes the system energy, so that using the STA has a definite cost in terms of conventional work definitions. This may be the ultimate cost of an adiabatic shortcut, in the sense that it is present even for a frictionless, zero-temperature driving. We estimate the effect, to lowest nontrivial order in the derivatives of the time-dependent frequency, on a parametric harmonic oscillator, thus providing a consistency condition for the validity of the classical approximation. © 2018 American Physical Society.

Registro:

Documento: Artículo
Título:Not-quite-free shortcuts to adiabaticity
Autor:Calzetta, E.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, IFIBA, CONICET, Cuidad Universitaria, Buenos Aires, 1428, Argentina
Palabras clave:Parametric oscillators; Quantum electronics; Classical approximation; Consistency conditions; Harmonic oscillators; Quantum fluctuation; Quantum heat engines; Theoretical limits; Time dependent frequency; Zero temperatures; Heat engines
Año:2018
Volumen:98
Número:3
DOI: http://dx.doi.org/10.1103/PhysRevA.98.032107
Título revista:Physical Review A
Título revista abreviado:Phys. Rev. A
ISSN:24699926
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v98_n3_p_Calzetta

Referencias:

  • Berry, M.V., Transitionless quantum driving (2009) J. Phys. A, 42, p. 365303
  • Torrontegui, E., Ibáñez, S., Martínez-Garaot, S., Modugno, M., Del Campo, A., Guéry-Odelin, D., Ruschhaupt, A., Muga, J.G., Shortcuts to adiabaticity (2013) Adv. At. Mol. Opt. Phys., 62, p. 117
  • Del Campo, A., Chenu, A., Deng, S., Wu, H., Thermodynamics in the Quantum Regime - Recent Progress and Outlook, , Friction-free quantum machines, edited by F. Binder, L. A. Correa, C. Gogolin, J. Anders, and G. Adesso, (Springer International Publishing)
  • Jarzynski, C., Generating shortcuts to adiabaticity in quantum and classical dynamics (2013) Phys. Rev. A, 88, p. 040101
  • Deng, J., Wang, Q.-H., Liu, Z., Hänggi, P., Gong, J., Boosting work characteristics and overall heat-engine performance via shortcuts to adiabaticity: Quantum and classical systems (2013) Phys. Rev. e, 88, p. 062122
  • Campisi, M., Hänggi, P., Talkner, P., Colloquium: Quantum fluctuation relations: Foundations and applications (2011) Rev. Mod. Phys., 83, p. 771
  • Campisi, M., Hänggi, P., Talkner, P., Erratum: Colloquium: Quantum fluctuation relations: Foundations and applications [Rev. Mod. Phys. 83, 771 (2011)] (2011) Rev. Mod. Phys., 83, p. 1653. , (E)
  • Roncaglia, A., Cerisola, F., Paz, J.P., Work Measurement As a Generalized Quantum Measurement (2014) Phys. Rev. Lett., 113, p. 250601
  • Cerisola, F., Margalit, Y., Machluf, S., Roncaglia, A.J., Pablo Paz, J., Folman, R., Using a quantum work meter to test non-equilibrium fluctuation theorems (2017) Nat. Commun., 8, p. 1241
  • Abah, O., Rossnagel, J., Jacob, G., Deffner, S., Schmidt-Kaler, F., Singer, K., Lutz, E., Single-Ion Heat Engine at Maximum Power (2012) Phys. Rev. Lett., 109, p. 203006
  • Del Campo, A., Goold, J., Paternostro, M., More bang for your buck: Super-adiabatic quantum engines (2014) Sci. Rep., 4, p. 6208
  • Beau, M., Jaramillo, J., Del Campo, A., Scaling-Up Quantum Heat Engines Efficiently via Shortcuts to Adiabaticity (2016) Entropy, 18, p. 168
  • Kosloff, R., Rezek, Y., The Quantum Harmonic Otto Cycle (2017) Entropy, 19, p. 136
  • Curzon, F.L., Ahlborn, B., (1975) Am. J. Phys., 43, p. 22
  • Zhang, R., Li, Q.-W., Tang, F.R., Yang, X.Q., Bai, L., Route towards the optimization at given power of thermoelectric heat engines with broken time-reversal symmetry (2017) Phys. Rev. e, 96, p. 022133
  • Zheng, Y., Campbell, S., De Chiara, G., Poletti, D., Cost of counteradiabatic driving and work output (2016) Phys. Rev. A, 94, p. 042132
  • Torrontegui, E., Lizuain, I., González-Resines, S., Tobalina, A., Ruschhaupt, A., Kosloff, R., Muga, J.G., Energy consumption for shortcuts to adiabaticity (2017) Phys. Rev. A, 96, p. 022133
  • Funo, K., Zhang, J.-N., Chatou, C., Kim, K., Ueda, M., Del Campo, A., Universal Work Fluctuations during Shortcuts to Adiabaticity by Counteradiabatic Driving (2017) Phys. Rev. Lett., 118, p. 100602
  • Abah, O., Paternostro, M., Shortcut-to-adiabaticity Otto Engine: New Twist to Finite-time Thermodynamics
  • Chen, X., Muga, J.G., Transient energy excitation in shortcuts to adiabaticity for the time dependent harmonic oscillator (2010) Phys. Rev. A, 82, p. 053403
  • Campbell, S., Deffner, S., Trade-Off between Speed and Cost in Shortcuts to Adiabaticity (2017) Phys. Rev. Lett., 118, p. 100601
  • Kolár, M., Gelbwaser-Klimovsky, D., Alicki, R., Kurizki, G., Quantum Bath Refrigeration Towards Absolute Zero: Challenging the Unattainability Principle (2012) Phys. Rev. Lett., 109, p. 090601
  • Masanes, Ll., Oppenheim, J., A general derivation and quantification of the third law of thermodynamics (2017) Nat. Commun., 8, p. 14538
  • Wilming, H., Gallego, R., Third Law of Thermodynamics as a Single Inequality (2017) Phys. Rev. X, 7, p. 041033
  • Freitas, N., Paz, J.P., Cooling a quantum oscillator: A useful analogy to understand laser cooling as a thermodynamic process (2018) Phys. Rev. A, 97, p. 032104
  • Brownnutt, M., Kumph, M., Rabl, P., Blatt, R., Ion-trap measurements of electric-field noise near surfaces (2015) Rev. Mod. Phys., 87, p. 1419
  • Savard, T.A., O'Hara, K.M., Thomas, J.E., Laser-noise-induced heating in far-off resonance optical traps (1997) Phys. Rev. A, 56, p. R1095. , (R)
  • Gardiner, C.W., Ye, J., Nagerl, H.C., Kimble, H.J., Evaluation of heating effects on atoms trapped in an optical trap (2000) Phys. Rev. A, 61, p. 045801
  • Peng, P., Huang, L.-H., Li, D.-H., Wang, P.-J., Meng, Z.-M., Zhang, J., Influence on the Lifetime of 87Rb Bose-Einstein Condensation for Far-Detuning Single-Frequency Lasers with Different Phase Noises (2018) Chin. Phys. Lett., 35, p. 063201
  • Chen, X., Lizuain, I., Ruschhaupt, A., Guéry-Odelin, D., Muga, J.G., Shortcut to Adiabatic Passage in Two- and Three-Level Atoms (2010) Phys. Rev. Lett., 105, p. 123003
  • Diao, P., Deng, S., Li, F., Yu, S., Chenu, A., Del Campo, A., Wu, H., Shortcuts to adiabaticity in Fermi gases; Deng, S., Chenu, A., Diao, P., Li, F., Yu, S., Coulamy, I., Del Campo, A., Wu, H., Superadiabatic quantum friction suppression in finite-time thermodynamics (2018) Sci. Adv., 4, p. eaar5909
  • Husimi, K., (1953) Prog.Theor. Phys., 9, p. 381. , Miscellanea in Elementary Quantum Mechanics, II
  • Parker, L., Particle Creation in Expanding Universes (1968) Phys. Rev. Lett., 21, p. 562
  • Calzetta, E., Hu, B.-L., (2008) Nonequilibrium Quantum Field Theory, , (Cambridge University Press, Cambridge)
  • Chen, X., Ruschhaupt, A., Schmidt, S., Del Campo, A., Guéry-Odelin, D., Muga, J.G., Fast Optimal Frictionless Atom Cooling in Harmonic Traps: Shortcut to Adiabaticity (2010) Phys. Rev. Lett., 104, p. 063002
  • Lu, X.-J., Ruschhaupt, A., Muga, J.G., Fast shuttling of a particle under weak spring-constant noise of the moving trap (2018) Phys. Rev. A, 97, p. 053402
  • Hu, C.-K., Cui, J.-M., Santos, A.C., Huang, Y.-F., Sarandy, M.S., Li, C.-F., Guo, G.-C., Experimental Implementation of Generalized Transitionless Quantum Driving (2018) Opt. Lett., 43, p. 3136
  • Feynman, R., Vernon, F., The theory of a general quantum system interacting with a linear dissipative system (1963) Ann. Phys. (NY), 24, p. 118
  • (2000) Ann. Phys., 281, p. 547. , reprinted in
  • Feynman, R., Hibbs, A., (1965) Quantum Mechanics and Path Integrals, , (McGraw-Hill, New York)
  • Aurell, E., Global Estimates of Errors in Quantum Computation by the Feynman-Vernon Formalism (2018) J. Stat. Phys., 171, p. 745
  • Kamenev, A., (2011) Field Theory of Nonequilibrium Systems, , (Cambridge University Press, Cambridge)
  • Landau, L.D., The damping problem in wave mechanics (1927) Z. Phys., 45, p. 430
  • Hillery, M., O'Connell, R.F., Scully, M.O., Wigner, E.P., Distribution functions in physics: Fundamentals (1984) Phys. Rep., 106, p. 121
  • Zachos, C.K., Fairlie, D.B., Curtright, T.L., (2005) Quantum Mechanics in Phase Space, , (World Scientific, Singapore)
  • Landau, L.D., Theory of energy transfer on collisions i (1932) Phys. Z. Sowjet., 1, p. 88
  • Landau, L.D., (1965), p. 52. , reprinted in Collected papers of, edited by D. Ter Haar (Gordon and Breach, New York); Landau, L.D., A theory of energy transfer II (1932) Phys. Z. Sowjet., 2, p. 46
  • Landau, L.D., (1965), p. 63. , reprinted in Collected papers of, edited by D. Ter Haar (Gordon and Breach, New York); Mandelstam, L., Tamm, Ig., The Uncertainty Relation between Energy and Time in Non-relativistic Quantum Mechanics (1945) J. Phys. USSR, 9, p. 249
  • Bolotovskii, B.M., Ya. Frenkel, V., (1991), p. 115. , reprinted in Ig. Tamm, in Selected Papers, edited by (Springer, Berlin); Giovannetti, V., Lloyd, S., Maccone, L., Quantum limits to dynamical evolution (2003) Phys. Rev. A, 67, p. 052109
  • Deffner, S., Campbell, S., Quantum speed limits: From Heisenbergs uncertainty principle to optimal quantum control (2017) J. Phys. A: Math. Theor., 50, p. 453001
  • Lebedev, N.N., (1965) Special Functions and Their Applications, , (Prentice-Hall, Upper Saddle River, NJ)

Citas:

---------- APA ----------
(2018) . Not-quite-free shortcuts to adiabaticity. Physical Review A, 98(3).
http://dx.doi.org/10.1103/PhysRevA.98.032107
---------- CHICAGO ----------
Calzetta, E. "Not-quite-free shortcuts to adiabaticity" . Physical Review A 98, no. 3 (2018).
http://dx.doi.org/10.1103/PhysRevA.98.032107
---------- MLA ----------
Calzetta, E. "Not-quite-free shortcuts to adiabaticity" . Physical Review A, vol. 98, no. 3, 2018.
http://dx.doi.org/10.1103/PhysRevA.98.032107
---------- VANCOUVER ----------
Calzetta, E. Not-quite-free shortcuts to adiabaticity. Phys. Rev. A. 2018;98(3).
http://dx.doi.org/10.1103/PhysRevA.98.032107