# Daniel J. Gauthier

Robert C. Richardson Professor of Physics

Prof. Gauthier is interested in a broad range of topics in the fields of nonlinear and quantum optics, and nonlinear dynamical systems.

In the area of optical physics, his group is studying the fundamental characteristics of highly nonlinear light-matter interactions at both the classical and quantum levels and is using this understanding to develop practical devices.

At the quantum level, his group has three major efforts in the area of quantum communication and networking. In one project, they are investigating hybrid quantum memories where one type of memory is connected to another through the optical field (so-called flying qubits). In particular, they are exploring nonlinear optical methods for frequency converting and impedance matching photons emitted from one type of quantum memory (e.g., trapped ions) to another (e.g., quantum dots).

In another project, they are exploring methods for efficiently transmitting a large number of bits of information per photon. They are encoding information on the various photon degrees of freedom, such as the transverse modes, one photon at a time, and using efficient mode sorters to direct the photons to single-photon detectors. The experiments make use of multi-mode spontaneous down conversion in a nonlinear crystal to produce quantum correlated or entangled photon pairs.

Another recent interest is the development of the world's most sensitive all-optical switch. Currently, they have observed switching with an energy density as low as a few hundred yoctoJoules per atomic cross-section, indicating that the switch should be able to operate at the single-photon level. The experiments use a quasi-one-dimensional ultra-cold gas of rubidium atoms as the nonlinear material. They take advantage of a one-dimensional optical lattice to greatly increase the nonlinear light-matter interaction strength.

In the area of nonlinear dynamics, his group is interested in the control and synchronization of chaotic devices, especially optical and radio-frequency electronic systems. They are developing new methods for private communication of information using chaotic carriers, using chaotic elements for distance sensing (e.g., low-probability-of-detection radar), using networks of chaotic elements for remote sensing, and using chaotic elements for generating truly random numbers at high data rates. Recently, the have observed 'Boolean chaos,' where complex behavior is observed in a small network of commercially-available free-running logic gates.

## Appointments and Affiliations

- Robert C. Richardson Professor of Physics
- Research Professor in the Department of Physics
- Professor in the Department of Electrical and Computer Engineering
- Bass Fellow

## Contact Information

**Office Phone:**(919) 660-2511**Websites:**

## Education

- Ph.D. University of Rochester, 1989
- M.S. University of Rochester, 1983
- B.S. University of Rochester, 1982

## Research Interests

Prof. Gauthier is interested in a broad range of topics in the fields of nonlinear and quantum optics, and nonlinear dynamical systems.

In the area of optical physics, his group is studying the fundamental characteristics of highly nonlinear light-matter interactions at both the classical and quantum levels and is using this understanding to develop practical devices.

At the quantum level, his group has three major efforts in the area of quantum communication and networking. In one project, they are investigating hybrid quantum memories where one type of memory is connected to another through the optical field (so-called flying qubits). In particular, they are exploring nonlinear optical methods for frequency converting and impedance matching photons emitted from one type of quantum memory (e.g., trapped ions) to another (e.g., quantum dots).

In another project, they are exploring methods for efficiently transmitting a large number of bits of information per photon. They are encoding information on the various photon degrees of freedom, such as the transverse modes, one photon at a time, and using efficient mode sorters to direct the photons to single-photon detectors. The experiments make use of multi-mode spontaneous down conversion in a nonlinear crystal to produce quantum correlated or entangled photon pairs.

Another recent interest is the development of the world's most sensitive all-optical switch. Currently, they have observed switching with an energy density as low as a few hundred yoctoJoules per atomic cross-section, indicating that the switch should be able to operate at the single-photon level. The experiments use a quasi-one-dimensional ultra-cold gas of rubidium atoms as the nonlinear material. They take advantage of a one-dimensional optical lattice to greatly increase the nonlinear light-matter interaction strength.

In the area of nonlinear dynamics, his group is interested in the control and synchronization of chaotic devices, especially optical and radio-frequency electronic systems.

They are developing new methods for private communication of information using chaotic carriers, using chaotic elements for distance sensing (e.g., low-probability-of-detection radar), using networks of chaotic elements for remote sensing, and using chaotic elements for generating truly random numbers at high data rates. Recently, the have observed 'Boolean chaos,' where complex behavior is observed in a small network of commercially-available free-running logic gates.

## Awards, Honors, and Distinctions

- Robert C. Richardson Professor of Physics. Duke University. 2011
- Outstanding Referee of the Physical Review and Physical Review Letters. American Physical Society. 2009
- Fellows. Optical Society of America. 2006
- Fellow. American Physical Society. 2002

## Courses Taught

- PHYSICS 142L9: General Physics II (LAB)
- PHYSICS 142L9D: General Physics II (Discussion)
- PHYSICS 142L: General Physics II
- PHYSICS 493: Research Independent Study
- PHYSICS 791: SPECIAL READINGS

## In the News

- Cathy Li: A Better Approach to Machine Learning (Jul 9, 2014)
- Slaying dragon-kings could prevent financial crashes (Nov 21, 2013 | New Scientist )
- Using chaos theory to predict and prevent catastrophic 'dragon king’ events (Oct 30, 2013 | Wired )
- Market Bubbles May Be Predictable, Controllable (Oct 17, 2013)
- Pratt Engineers Awarded Four Department of Defense Grants (Jun 18, 2013)

## Representative Publications

- Guilbert, HE; Wong, Y-P; Gauthier, DJ,
*Observation of elliptical rings in type-I spontaneous parametric downconversion*, Journal of the Optical Society of America B, vol 32 no. 10 (2015), pp. 2096-2096 [10.1364/JOSAB.32.002096] [abs]. - Rivera-Durón, RR; Campos-Cantón, E; Campos-Cantón, I; Gauthier, DJ,
*Forced synchronization of autonomous dynamical Boolean networks.*, Chaos, vol 25 no. 8 (2015) [abs]. - Guilbert, HE; Gauthier, DJ,
*Enhancing Heralding Efficiency and Biphoton Rate in Type-I Spontaneous Parametric Down-Conversion*, IEEE Journal of Selected Topics in Quantum Electronics, vol 21 no. 3 (2015), pp. 215-224 [10.1109/JSTQE.2014.2375161] [abs]. - Mirhosseini, M; Magaña-Loaiza, OS; O’Sullivan, MN; Rodenburg, B; Malik, M; Lavery, MPJ; Padgett, MJ; Gauthier, DJ; Boyd, RW,
*High-dimensional quantum cryptography with twisted light*, New Journal of Physics, vol 17 no. 3 (2015), pp. 033033-033033 [10.1088/1367-2630/17/3/033033] [abs]. - Haynes, ND; Soriano, MC; Rosin, DP; Fischer, I; Gauthier, DJ,
*Reservoir computing with a single time-delay autonomous Boolean node.*, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol 91 no. 2 (2015) [abs].