Entanglement in Quantum Systems: October 3-7, 2016

Organized by: Chris Herzog, Vladimir Korepin and Bruno Nachtergaele.

Attendee ListDownload Talk ScheduleVideos

This workshop is organized in connection to the SCGP program on Entanglement and Dynamical Systems. Quantum entanglement is a continuing source of inspiration and progress in physics and mathematics that cuts across traditional boundaries separating different disciplines. In this workshop, we would like to bring together researchers working statistical physics, high energy physics and entanglement in quantum spin chains.

Several of quantum spin chains were experimentally realized [simulation]. Experimentalists consider them as toy models for future quantum devices. Entanglement underlies protocols for quantum teleportation, communication and computation. Spin chains provide good models for the experimental realization of quantum devices such as quantum computers. Near phase transitions entanglement entropy exhibit singularities.

The study of entanglement in many-particle systems and its exploitation for implementing specific quantum protocols is an extremely active field of research. It requires a diverse expertise and the use of a variety of computational and theoretical techniques, ranging from combinatorics, density matrix renormalization group and tensor network states to the use of nonperturbative tools of quantum field theory. The study of entanglement in many-particle systems has not only contributed to a better understanding of entanglement measures and witnesses but has also provided new and interesting characterizations of quantum critical systems. Of particular relevance are recent investigations of the scaling of entanglement with distance, entanglement measures and efforts to connect entanglement measures to observables.

For spin chains solvable by Bethe Ansatz entanglement can be represented in terms of Fredholm determinants . This helps to study analytical properties of the entropy as a function of physical parameters and to calculate entanglement spectrum. In XY chain ellipses of constant entropy and essential singularity was discovered at multi-critical point . Another spin chain Valence-Bond-Solid also know as Affelck-Lieb-Kennedy-Tasaki plays an important role in quantum computation [measurement based quantum comutation].

The workshop gives to us a unique opportunity to bring these different types of researchers [statistical mechanics , high energy physics and quantum information] together under a single roof. The field is very hot with large numbers of papers coming out daily.

Talk Schedule


Time Title Presenter Location
9:00am Welcome addresss Luis Álvarez-Gaumé SCGP 102
9:10am Entanglement in quantum spin systems: mathematical perspectives Bruno Nachtergaele SCGP 102
10:10am Operator-algebraic approach to topological phases Pieter Naaijkens SCGP 102
11:10am Coffee Break N/A SCGP Cafe
11:30am Ground states of quantum impurity models Sergey Bravyi SCGP 102
12:30pm Lunch N/A SCGP Cafe
1:30pm Israel Klich SCGP 102
2:30pm Entanglement Spectra of Symmetry Protected Topological (SPT) Phases and Boundary Conformal Field Theory Andreas Ludwig SCGP 102
3:30pm Tea N/A SCGP Lobby
4:00pm Shinsei Ryu SCGP 102


Time Title Presenter Location
9:00am Quantum Boltzmann Machine Mohammad Amin SCGP 102
10:00am Quantum spin chains: Generic Properties and Exactly Solvable Models Ramis Movassagh SCGP 102
11:00am Coffee Break N/A SCGP Cafe
11:30am Hybrid scheme for entanglement generation via non-linear excitations Paola Verrucci SCGP 102
12:30pm Lunch N/A SCGP Cafe
1:30pm Composite order in strongly correlated systems Alexei Tsvelik SCGP 102
2:30pm Quantum entanglement in 1+1 dimensional quantum field theories: a tensor network point of view Frank Verstratete SCGP 102
3:45pm Tea N/A SCGP Lobby
4:15pm Physics SCGP Colloquium Ashoke Sen SCGP 102


9:00am Mutual information and negativity asymptotics in ground states of spin and fermion chains Zoltan Zimboras SCGP 102
10:00am Baeriswyl based variational approach to the Bose-Hubbard model: is it supersolid or not? Balazs Hetenyi SCGP 102
11:00am Coffee Break N/A SCGP Cafe
11:30am Complexity of quantum impurity problems David Gosset SCGP 102
12:30pm Lunch N/A SCGP Cafe
1:30pm nonequilibrium dynamics of spin chains/Kibble-Zurek and annealing. Adolfo del Campo SCGP 102
2:30pm Floquet Time Crystals Bela Bauer SCGP 102
3:30pm Tea N/A SCGP Lobby
4:00pm Wojciech de Roeck SCGP 102
6:00pm Workshop Banquet SCGP Cafe


Time Title Presenter Location
9:00am Entanglement response to external perturbations in many-body systems Luigi Amico SCGP 102
10:00am Quenches, Entanglement Spectrum and Irreversible Work in Quantum Impurity Models Sougato Bose SCGP 102
11:00am Coffee Break N/A SCGP Cafe
11:30pm Area law violation in the Fredkin spin chain Olof Salberger SCGP 102
12:30pm Lunch N/A SCGP Cafe
1:30pm New statistical mechanical models inspired by gauge theories in various dimensions Nikita Nekrasov SCGP 102
2:30pm Prime Suspects and Coprime Fellows. Quantum Tales in Number Theory Giuseppe Mussardo SCGP 102
3:30pm Tea N/A SCGP Lobby
4:00pm Quantum Galilean Cannon as a Schrodinger Cat Maxim Olshanii (Olchanyi) SCGP 102


Time Title Presenter Location
9:00am Entanglement in symmetry protected topological phases; A case study. Raul Santos SCGP 102
10:00am Entanglement Dynamics and Black Hole Collapse Julian Sonner SCGP 102
11:00am Closing remarks Vladimir Korepin SCGP 102
11:05am Coffee Break N/A SCGP Cafe
12:30pm Lunch N/A SCGP Cafe
3:30pm Tea N/A SCGP Lobby

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