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Gregory C. Levine

Professor of Physics and Astronomy


Degrees

PHD, 1989, Columbia University; MA, 1985, Columbia University; BA, 1983, Columbia University


Bio

Gregory Levine received his PhD in Physics from Columbia University in 1989 and was a postdoctoral fellow at the Texas Center for Superconductivity before joining the Physics Department at Hofstra in 1993. In 2004-6, Professor Levine was a KITP Scholar at the Kavli Institute for Theoretical Physics at the University of California. He has twice received research grants from the Research Corporation/Cottrell Foundation. Professor Levine has worked in the fields of nonlinear dynamics, strongly correlated systems (such as superconductivity and low dimensional magnetism), dissipative quantum systems and quantum information.

Recent Papers (* denotes Hofstra student author)

"Comparison of the strength of mesh attachment using barbed and non-barbed sutures," M. Pilkinton, G. Levine, L. Bennett*, H. Winkler, and P. Finamore, Am. J. of Ob. and Gyn. S565 (2017).

"Entanglement Temperature and Perturbed AdS3 Geometry," G. C. Levine and B. Caravan*, Phys. Rev. D 93, 126002 (2016).

"Scaling of Entanglement Entropy for the Heisenberg Model on Clusters Joined by Point Contacts" B. A. Friedman and G. C. Levine, Journal of Statistical Physics 165, 727 (2016).

“Scaling of entanglement entropy in a point contact free fermion system,” Bassir Caravan*, B. A. Friedman and G. C. Levine, Phys. Rev. A89, 052305 (2014).

“Full counting statistics in a disordered free fermion system,” G. C. Levine, M. J. Bantegui* and J. A. Burg*, Phys. Rev. B86, 174202 (2012).

“Entanglement entropy of random fractional quantum Hall systems,” B. A. Friedman and G. C. Levine, New Journal of Physics 13, 055006 (2011). (invited paper for special issue on Topological Quantum Computation.)

“Projective approach to the entanglement entropy of 1-d fermions,” G. C. Levine and B. A. Friedman, Phys. Rev. B83 125118 (2011).

“Detecting many-body entanglements in noninteracting ultracold atomic fermi gases,” G. C. Levine, B. A. Friedman and M. J. Bantegui*, Phys. Rev. A83, 013623 (2011).

“Topological entanglement entropy in the second Landau level,” B. A. Friedman and G. C. Levine, Int. J. of Mod. Phys. B 24, 4707 (2010).

Recent Research Students (Name, Years, Project, Trajectory)

Bassir Caravan (2012-present): Entanglement/gravity duals Entanglement in Bethe lattice Electoral Susceptibility. As of fall 2014, medical school interviews.

Joseph Burg (2012-2013): Full counting statistics in disordered fermions. As of fall 2014, he is pursuing a PhD in engineering at Stanford University.

Michael Bantegui (2010-2012): Signatures of quantum entanglement in cold atom gases.            
Programmer/Analyst for King Kullen Incorporated.

David Miller (2006-2008): Zero dimensional area law. PhD in engineering from Princeton University; Postdoc Brown University.

Christian Hilaire (2004-2006): Mathematics of Conformal Field Theory. He earned an MS in Mathematics from MIT and PhD from University of California, Berkeley.


Research Interests

Quantum Information
The concept of information represented in a purely quantum mechanical form was first developed in an effort to generalize ordinary computation—operations performed on numbers represented as bits (0 and 1). In the quantum version of computation, the elements are quantum bits (qubits) that may be in an uncertain state, termed a quantum ”superposition” between states 0 and 1. Quantum computation has been shown to offer dramatic speed improvement over classical computation for certain classes of problems.  An essential ingredient of quantum computation is a type of long range-correlation between qubits termed “entanglement”—the feature of quantum mechanics Einstein famously called “…spooky action at a distance.”  My research has recently focused on the question of how entanglement dynamically evolves in a system with many quantum particles. I have also begun a project exploring the use of the newly discovered correspondences (dualities) between gravitational physics and quantum field theory to study entanglement entropy. Although these dualities were developed in string theory in a high energy physics context, they present a promising approach to a certain class of problems in condensed matter physics.

Dissipative Quantum Systems
Another area of my research focuses on the quantum mechanics of “open systems”—the quantum mechanics of systems embedded in a large and stochastic environment. This subfield of physics attempts to address how classical physics, which governs macroscopic or large-scale physics behavior, emerges from quantum mechanics, which governs the microscopic or small-scale behavior. As a quantum system is made larger, its wave-like properties become more sensitive to the coherence destroying effects of the environment. In fact, it is decoherence that renders the universe demonstrably classical (and makes Newtonian mechanics, rather than quantum mechanics, valuable to an engineering student.) This topic is at the frontier of modern theoretical physics and has a direct impact upon a number of pure and applied fields of physics such as quantum computing, conductivity and superconductivity in strongly correlated materials, and quantum cosmology.


Recent Courses Taught

Course Title Level
PHYS 002B (NS) ELEM PHYS LAB Undergraduate
PHYS 012B (NS) GEN PHYSICS LAB Undergraduate
PHYS 100 HONORS UG RESEARCH IN PHYS Undergraduate
PHYS 170 INDEPENDENT UG RESEARCH Undergraduate
Photo of Gregory Levine

OFFICE
Chemistry Physics Bldg. 217A
VOICE
516-463-5583
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