Citation:
Wilbur Shirley, Kevin Slagle, and Xie Chen. 2019. “Twisted foliated fracton phases.” arXiv:1907.09048.
Ultra-Quantum Matter
Recent developments demonstrate that in the right circumstances, quantum aspects can extend to macroscopic scale. This is UQM.
Recent Publications
Some Information Theoretic Aspects of De-Sitter Holography
Citation:
Hao Geng. 2020. “Some Information Theoretic Aspects of De-Sitter Holography.” JHEP, 02, Pp. 005.
Chern bands of twisted bilayer graphene: fractional Chern insulators and spin phase transition
Citation:
Cécile Repellin and T Senthil. 2020. “Chern bands of twisted bilayer graphene: fractional Chern insulators and spin phase transition.” Physical Review Research, 2, Pp. 023238.
Gapped domain walls between 2+1D topologically ordered states
Citation:
Tian Lan, Xueda Wen, Liang Kong, and Xiao-Gang Wen. 2020. “Gapped domain walls between 2+1D topologically ordered states.” Phys. Rev. Research, 2, Pp. 023331.
Emerging Two-Dimensional Gauge Theories in Rydberg Configurable Arrays
Citation:
Alessio Celi, Benoît Vermersch, Oscar Viyuela, Hannes Pichler, Mikhail D. Lukin, and Peter Zoller. 2020. “Emerging Two-Dimensional Gauge Theories in Rydberg Configurable Arrays.” Physical Review X, 10, Pp. 021057.
Abstract:
Solving strongly coupled gauge theories in two or three spatial dimensions is of fundamental importance in several areas of physics ranging from high-energy physics to condensed matter. On a lattice, gauge invariance and gauge invariant (plaquette) interactions involve (at least) four-body interactions that are challenging to realize. Here we show that Rydberg atoms in configurable arrays realized in current tweezer experiments are the natural platform to realize scalable simulators of the Rokhsar-Kivelson Hamiltonian –a 2D U(1) lattice gauge theory that describes quantum dimer and spin-ice dynamics. Using an electromagnetic duality, we implement the plaquette interactions as Rabi oscillations subject to Rydberg blockade. Remarkably, we show that by controlling the atom arrangement in the array we can engineer anisotropic interactions and generalized blockade conditions for spins built of atom pairs. We describe how to prepare the resonating valence bond and the crystal phases of the Rokhsar-Kivelson Hamiltonian adiabatically, and probe them and their quench dynamics by on-site measurements of their quantum correlations. We discuss the potential applications of our Rydberg simulator to lattice gauge theory and exotic spin models.Quantum non-demolition measurement of a many-body Hamiltonian
Citation:
Dayou Yang, Andrey Grankin, Lukas M. Sieberer, Denis V. Vasilyev, and Peter Zoller. 2020. “Quantum non-demolition measurement of a many-body Hamiltonian.” Nature Communications, 11, Pp. 775.
Abstract:
In an ideal quantum measurement, the wave function of a quantum system collapses to an eigenstate of the measured observable, and the corresponding eigenvalue determines the measurement outcome. If the observable commutes with the system Hamiltonian, repeated measurements yield the same result and thus minimally disturb the system. Seminal quantum optics experiments have achieved such quantum non-demolition (QND) measurements of systems with few degrees of freedom. In contrast, here we describe how the QND measurement of a complex many-body observable, the Hamiltonian of an interacting many-body system, can be implemented in a trapped-ion analog quantum simulator. Through a single-shot measurement, the many-body system is prepared in a narrow band of (highly excited) energy eigenstates, and potentially even a single eigenstate. Our QND scheme, which can be carried over to other platforms of quantum simulation, provides a framework to investigate experimentally fundamental aspects of equilibrium and non-equilibrium statistical physics including the eigenstate thermalization hypothesis and quantum fluctuation relations.Field Theories With a Vector Global Symmetry
Citation:
Nathan Seiberg. 2020. “Field Theories With a Vector Global Symmetry.” SciPost Phys., 8, Pp. 050.
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