Static third-harmonic lines in widely variable fiber continuum generation

Tu, Haohua; Zhao, Youbo; Liu, Yuan; Boppart, Stephen A.

doi:10.1103/physreva.89.013813

Cited by 4 publications

(5 citation statements)

References 15 publications

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“…Following the same procedure for a jump process one can define a Laplace transform of the probability of current, analogous to equation (11) (with an integral instead of a sum). The time evolution of this Laplace transform follows equation (14). Hence, the SCGF λ(z) can be expressed in terms of the maximum eigenvalue ρ 1 (z) trough the formula (20).…”

Section: Appendix B Diusion Processesmentioning

confidence: 99%

“…Within this theory, periodically driven systems are modeled as Markov processes with time-dependent transition rates that are periodic. Such modeling has been used in several works that include: models for stochastic resonance [4], linear response theory for periodically driven systems [5][6][7][8][9][10][11], theoretical studies for small heat engines far from equilibrium [12][13][14][15], necessary conditions for the generation of a current in a molecular pump [16][17][18][19][20], a mapping relating periodically driven systems with systems driven by a fixed thermodynamic anity [21,22], and 2.5 large deviations for Markov process with time-periodic generators [23,24]. However, a generic formalism to evaluate the rate of large deviations of single currents is still not available.…”

Section: Introductionmentioning

confidence: 99%

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Current fluctuations in periodically driven systems

Barato¹,

Chétrite²

2018

J. Stat. Mech.

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Small nonequelibrium systems driven by an external periodic protocol can be described by Markov processes with time-periodic transition rates. In general, current fluctuations in such small systems are large and may play a crucial role. We develop a theoretical formalism to evaluate the rate of such large deviations in periodically driven systems. We show that the scaled cumulant generating function that characterizes current fluctuations is given by a maximal Floquet exponent. Comparing deterministic protocols with stochastic protocols, we show that, with respect to large deviations, systems driven by a stochastic protocol with an infinitely large number of jumps are equivalent to systems driven by deterministic protocols. Our results are illustrated with three case studies: a two-state model for a heat engine, a three-state model for a molecular pump, and a biased random walk with a time-periodic affinity.

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Section: Appendix B Diusion Processesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Current fluctuations in periodically driven systems

Barato¹,

Chétrite²

2018

J. Stat. Mech.

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“…must be fulfilled. The equality in equations ( 17) and ( 18) corresponds to the quasi-static case (16).…”

Section: Adiabatic Processesmentioning

confidence: 99%

“…We employ these finite-time adiabatic processes to build the corresponding adiabatic branches of the irreversible Carnot engine. Therefore, our approach differs from other recent attempts to construct an irreversible Carnot engine [14][15][16][17][18], the limitations of which are discussed in what follows. Specifically, we focus on the respective definitions of 'adiabaticity'.…”

Section: Introductionmentioning

confidence: 99%

“…has been shown to correspond to isoentropic processes only in the quasi-static limit [15,19], so such a process is not adiabatic either for finite time operation 5 . A completely different approach is proposed in reference [16]. Therein, the oscillator follows a Hamiltonian dynamics and is completely decoupled from the heat bath during the adiabatic branches, a procedure that cannot be implemented with a Brownian particle immersed in a fluid.…”

Section: Introductionmentioning

confidence: 99%

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Building an irreversible Carnot-like heat engine with an overdamped harmonic oscillator

Plata¹,

Guéry-Odelin²,

Trizac³

et al. 2020

J. Stat. Mech.

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We analyse non-equilibrium Carnot-like cycles built with a colloidal particle in a harmonic trap, which is immersed in a fluid that acts as a heat bath. Our analysis is carried out in the overdamped regime. The cycle comprises four branches: two isothermal processes and two locally adiabatic ones. In the latter, both the temperature of the bath and the stiffness of the harmonic trap vary in time, but in such a way that the average heat vanishes for all times. All branches are swept at a finite rate and, therefore, the corresponding processes are irreversible, not quasi-static. Specifically, we are interested in optimising the heat engine to deliver the maximum power and characterising the corresponding values of the physical parameters. The efficiency at maximum power is shown to be very close to the Curzon-Ahlborn bound over the whole range of the ratio of temperatures of the two thermal baths, pointing to the near optimality of the proposed protocol.

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Enantioselective optical trapping of chiral nanoparticles using a transverse optical needle field with a transverse spin

et al. 2020

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Since the fundamental building blocks of life are built of chiral amino acids and chiral sugar, enantiomer separation is of great interest in plenty of chemical syntheses. Light-chiral material interaction leads to a unique chiral optical force, which possesses opposite directions for specimens with different handedness. However, usually the enantioselective sorting is challenging in optical tweezers due to the dominating achiral force. In this work, we propose an optical technique to sort chiral specimens by use of a transverse optical needle field with a transverse spin (TONFTS), which is constructed through reversing the radiation patterns from an array of paired orthogonal electric dipoles located in the focal plane of a 4Pi microscopy and experimentally generated with a home-built vectorial optical field generator. It is demonstrated that the transverse component of the photonic spin gives rise to the chiral optical force perpendicular to the direction of the light’s propagation, while the transverse achiral gradient force would be dramatically diminished by the uniform intensity profile of the optical needle field. Consequently, chiral nanoparticles with different handedness would be laterally sorted by the TONFTS and trapped at different locations along the optical needle field, providing a feasible route toward all-optical enantiopure chemical syntheses and enantiomer separations in pharmaceuticals.

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Static third-harmonic lines in widely variable fiber continuum generation

Cited by 4 publications

References 15 publications

Current fluctuations in periodically driven systems

Current fluctuations in periodically driven systems

Building an irreversible Carnot-like heat engine with an overdamped harmonic oscillator

Enantioselective optical trapping of chiral nanoparticles using a transverse optical needle field with a transverse spin

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