Path integrals and nonlinear optical tweezers

Suassuna, Bruno; Melo, Bruno; Guerreiro, Thiago

doi:10.1103/physreva.103.013110

Cited by 16 publications

(35 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…[5,6]. More recent work shows that the optical forces are locally conservative in this particular system, for reasons of symmetry rather than any more fundamental requirement [7][8][9][10][11][12] and, furthermore, that the nonconservative character of optical forces manifests itself whenever the symmetry of the system is lowered or when the particle roams widely in a weak trap [13,14]. In the overdamped regime, this results in persistent probability currents connected with a subtle, systematic bias in the Brownian motion of the trapped object [15].…”

Section: Introductionmentioning

confidence: 93%

Stochastic Hopf bifurcations in vacuum optical tweezers

et al. 2021

View full text Add to dashboard Cite

The forces acting on an isotropic microsphere in optical tweezers are effectively conservative. However, reductions in the symmetry of the particle or trapping field can break this condition. Here we theoretically analyze the motion of a particle in a linearly nonconservative optical vacuum trap, concentrating on the case where symmetry is broken by optical birefringence, causing nonconservative coupling between rotational and translational degrees of freedom. Neglecting thermal fluctuations, we first show that the underlying deterministic motion can exhibit a Hopf bifurcation in which the trapping point destabilizes and limit cycles emerge whose amplitude grows with decreasing viscosity. When fluctuations are included, the bifurcation of the underlying deterministic system is expressed as a transition in the statistical description of the motion. For high viscosities, the probability distribution is normal, with a kurtosis of three, and persistent probability currents swirl around the stable trapping point. As the bifurcation is approached, the distribution and currents spread out in phase space. Following the bifurcation, the probability distribution function hollows out, reflecting the underlying limit cycle, and the kurtosis halves abruptly. The system is seen to be a noisy self-sustained oscillator featuring a highly uneven limit cycle. A variety of applications, from autonomous stochastic resonance to synchronization, is discussed.

show abstract

Section: Introductionmentioning

confidence: 93%

Stochastic Hopf bifurcations in vacuum optical tweezers

et al. 2021

View full text Add to dashboard Cite

show abstract

“…which gives the probability of the particle being in the position x τ at time t = τ given that it starts in x 0 at time t = 0. That probability can be computed by path integrals methods [21,23] or via Fokker-Planck equation [24]. Due to the presence of thermal noise, the stochastic thermodynamics of the system is well defined [14,25].…”

Section: Model and Thermodynamicsmentioning

confidence: 99%

Probabilities for informational free lunches in stochastic thermodynamics

Paraguassú,

Defaveri,

Queirós

et al. 2022

Preprint

View full text Add to dashboard Cite

By considering an explicit nonequilibrium model, we analyze the statistics of the irreversible work, wirr, and irreversible entropy production, ∆is, within the stochastic energetics framework. Restating the second law of thermodynamics as a function of wirr, we introduce the explicit probability of violating the canonical form of that second law for a different set of parameters and initial conditions of the model. Moreover, we study the irreversible entropy production along the same lines, since it can be cast as a generalization of the irreversible work. From an informational perspective, our result allows quantifying the probability of deleting information without performing work, contrarily to the Landauer's Principle, which we classify as an informational free lunch. We chose for initial conditions cases of low information content (equilibrium) and high information content (delta distributed).

show abstract

“…When the refractive index of the particle's material is larger than that of its surrounding medium, optical forces attract the object towards high intensities of light. For Gaussian beam optical tweezers, the resulting potential is approximately harmonic [16], and careful calibration of the trap by a number of different methods [17,18] allows for precision force microscopy down to the molecular realm [19].…”

mentioning

confidence: 99%

“…A Dark Focus Tweezer (DFT) could find many applications across physics and biology. The optical potential generated by structured light dark traps can have tunable non-harmonicity [31], providing a laboratory for studies of non-linear stochastic dynamics [16] and non-Gaussian state preparation in optomechanics [32]. Moreover, trapping objects in the dark can be extremely beneficial in the fields of active matter and biophysics, where laser damage thresholds limit experiments with living cells [33][34][35].…”

mentioning

confidence: 99%

Trapping microparticles in a structured dark focus

F.¹,

SOUSA²,

Kremer³

et al. 2023

Preprint

View full text Add to dashboard Cite

We experimentally demonstrate stable trapping and controlled manipulation of silica microspheres in a structured optical beam consisting of a dark focus surrounded by light in all directions -the so-called Dark Focus Tweezer. Results from power spectrum and potential analysis demonstrate the non-harmonicity of the trapping potential landspace, which is reconstructed from experimental data in agreement to Lorentz-Mie numerical simulations. Applications of the dark tweezer in levitated optomechanics and biophysics are discussed.

show abstract

Path integrals and nonlinear optical tweezers

Cited by 16 publications

References 43 publications

Stochastic Hopf bifurcations in vacuum optical tweezers

Stochastic Hopf bifurcations in vacuum optical tweezers

Probabilities for informational free lunches in stochastic thermodynamics

Trapping microparticles in a structured dark focus

Contact Info

Product

Resources

About