Harnessing Fluctuations in Thermodynamic Computing via Time-Reversal Symmetries

Author(s): Wimsatt, Gregory; Saira, Olli-Pentti; Boyd, Alexander B; Matheny, Matthew H; Han, Siyuan; Roukes, Michael L; Crutchfield, James P | Abstract: We experimentally demonstrate that highly structured distributions of work emerge during even the simple task of erasing a single bit. These are signatures of a refined suite of time-reversal symmetries in distinct functional classes of microscopic trajectories. As a consequence, we introduce a broad family of conditional fluctuation theorems that the component work distributions must satisfy. Since they identify entropy production, the component work distributions encode both the frequency of various mechanisms of success and failure during computing, as well giving improved estimates of the total irreversibly-dissipated heat. This new diagnostic tool provides strong evidence that thermodynamic computing at the nanoscale can be constructively harnessed. We experimentally verify this functional decomposition and the new class of fluctuation theorems by measuring transitions between flux states in a superconducting circuit.

[1]  Dmitri Petrov,et al.  Universal features in the energetics of symmetry breaking , 2013, Nature Physics.

[2]  Christopher Jarzynski,et al.  Work and information processing in a solvable model of Maxwell’s demon , 2012, Proceedings of the National Academy of Sciences.

[3]  E. Lutz,et al.  Experimental verification of Landauer’s principle linking information and thermodynamics , 2012, Nature.

[4]  T. Sagawa,et al.  Thermodynamics of information , 2015, Nature Physics.

[5]  James P. Crutchfield,et al.  Above and Beyond the Landauer Bound: Thermodynamics of Modularity , 2017, Physical Review X.

[6]  J. Koski,et al.  On-Chip Maxwell's Demon as an Information-Powered Refrigerator. , 2015, Physical review letters.

[7]  A. Bérut,et al.  Detailed Jarzynski equality applied to a logically irreversible procedure , 2013, 1302.4417.

[8]  J. Parrondo,et al.  Lower bounds on dissipation upon coarse graining. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Gavin E. Crooks,et al.  Excursions in Statistical Dynamics , 1999 .

[10]  Momčilo Gavrilov High-Precision Test of Landauer’s Principle , 2017 .

[11]  James P. Crutchfield,et al.  Transient Dissipation and Structural Costs of Physical Information Transduction , 2017, Physical review letters.

[12]  Suriyanarayanan Vaikuntanathan,et al.  Dissipation and lag in irreversible processes , 2009, 0909.3457.

[13]  Claudio Serpico,et al.  Micromagnetic study of minimum-energy dissipation during Landauer erasure of either isolated or coupled nanomagnetic switches , 2014 .

[14]  James P. Crutchfield,et al.  Correlation-powered Information Engines and the Thermodynamics of Self-Correction , 2016, Physical review. E.

[15]  C. Jarzynski,et al.  Classical and Quantum Shortcuts to Adiabaticity in a Tilted Piston. , 2016, The journal of physical chemistry. B.

[16]  Scott Dhuey,et al.  Experimental test of Landauer’s principle in single-bit operations on nanomagnetic memory bits , 2016, Science Advances.

[17]  J. Crutchfield,et al.  Fluctuations When Driving Between Nonequilibrium Steady States , 2016, 1610.09444.

[18]  U. Seifert Stochastic thermodynamics, fluctuation theorems and molecular machines , 2012, Reports on progress in physics. Physical Society.

[19]  James P. Crutchfield,et al.  Leveraging Environmental Correlations: The Thermodynamics of Requisite Variety , 2016, ArXiv.

[20]  Han,et al.  Effect of a two-dimensional potential on the rate of thermally induced escape over the potential barrier. , 1992, Physical review. B, Condensed matter.

[21]  F. Ritort,et al.  Experimental free-energy measurements of kinetic molecular states using fluctuation theorems , 2012, Nature Physics.

[22]  Grant M. Rotskoff,et al.  Near-optimal protocols in complex nonequilibrium transformations , 2016, Proceedings of the National Academy of Sciences.

[23]  Susanne Still,et al.  The thermodynamics of prediction , 2012, Physical review letters.

[24]  Rolf Landauer,et al.  Irreversibility and heat generation in the computing process , 1961, IBM J. Res. Dev..

[25]  Momčilo Gavrilov,et al.  Direct measurement of weakly nonequilibrium system entropy is consistent with Gibbs–Shannon form , 2017, Proceedings of the National Academy of Sciences.

[26]  Y. Kuzovlev,et al.  Nonlinear fluctuation-dissipation relations and stochastic models in nonequilibrium thermodynamics , 1981 .

[27]  Patrick R. Zulkowski,et al.  Optimal control of overdamped systems. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  C. Jarzynski Rare events and the convergence of exponentially averaged work values. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[29]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[30]  A. B. Boyd,et al.  Identifying functional thermodynamics in autonomous Maxwellian ratchets , 2015, 1507.01537.

[31]  Rainer Klages,et al.  Nonequilibrium statistical physics of small systems : fluctuation relations and beyond , 2013 .

[32]  Christopher Jarzynski,et al.  Comparison of far-from-equilibrium work relations , 2007 .

[33]  A. Petrosyan,et al.  Information and thermodynamics: experimental verification of Landauer's Erasure principle , 2015, 1503.06537.

[34]  James P. Crutchfield,et al.  Thermodynamics of Random Number Generation , 2016, Physical review. E.