# Institute for Mathematical Sciences Programs & Activities

**Mathematical Horizons for Quantum Physics 2**

(12 August - 11 October 2013)

**Mathematical Horizons for Quantum Physics 2**

(12 August - 11 October 2013)

*Jointly organized with Centre for Quantum Technologies, NUS*

Organizing Committee · Visitors and Participants · Overview · Activities · Venue · Enquiries

- Reinhard Werner (University of Hanover)

**Co-chairs **

- Berthold-Georg Englert (National University of Singapore)
- Leong Chuan Kwek (Nanyang Technological University and National University of Singapore)

**Secretary**

- Hui Khoon Ng (National University of Singapore)

Quantum theory is one of the most important intellectual developments in the early twentieth century. Since then there has been much interplay between theoretical physics and mathematics, both pure and applied. Arguably, the field of Mathematical Physics, equally at home in mathematics and in physics, emerged from John von Neumann’s seminal work on the spectral theory of linear operators in Hilbert space which was triggered by the birth of quantum theory in the mid 1920s. Yet this is just one historical example of how the mathematical insights and tools that are developed in the course of answering challenging mathematical questions arising from physical problems have contributed to the advance of both mathematics and physics. In this tradition, it is the objective of this IMS Programme to bring together Mathematicians, whose work has a bearing on quantum physics, with researchers in Mathematical Physics and Theoretical Physics, whose work will benefit from the mathematical progress. The collaboration between these scientists of different background, different expertise, and different scientific culture will bear fruit on the research of all participants by intellectual cross-fertilization.

The first programme on Mathematical Horizons in Quantum Physics (MHQP-2008) was held at IMS from 28 July to 21 September 2008, under the overarching theme of Operator Theory and Operator Algebra Theory. In this second installment of the MHQP series, we turn to the rich areas of many-body open quantum systems and quantum information theory. Today, much interest in various fields of Mathematical Physics is devoted to the study of open quantum systems, whose properties are profoundly affected by environment, for instance through the continuum of decay channels. Moreover, every finite fermion system has its own characteristic features, resonance and threshold phenomena are generic; they are great interdisciplinary unifiers. In MHQP-2013, we will bring together scientists working on different many-body open quantum systems with people working on quantum information theory, to stimulate interdisciplinary contacts and contribute to the exchange of ideas.

The Programme will consist of four overlapping three-week Sessions, each devoted to a selected topic. Session 1 will focus on Quantum Information Theory, which has much overlap with the realm of Mathematical Physics. This links closely to Information-Theoretic Approaches to Thermodynamics, which is the topic of Session 2. Session 3 will focus on mathematical aspects of Many-Particle Systems, and Session 4 will deal with Open Quantum Systems.

Programme Structure:

Each Session has a Session Organizer who is in charge of defining the Session and the selection of the Discussion Leaders and the participants. At the start of each Session, there will be presentations by the Discussion Leaders to lay the groundwork. There follows an intense period of about 20 days of discussions and close collaborations among the participants. The Session ends with talks summarizing the progress accomplished and a round-table discussion defining future problems and areas of close collaboration.

**Session 1 on Quantum Information Theory,**12 - 30 Aug 2013 (Week 1 - 3)Session Organizers: Burkhard KÃ¼mmerer (Technische UniversitÃ¤t Darmstadt) and Hans Maassen (Radboud University Nijmegen)

-**Programme for NUS Graduate Students (QT5201H),**12 Aug, 15 Aug, 19 Aug 2013 (Week 1 - 2)

The talks will consist of an introductory part, and a part which is meant to hint at the new directions which the

speakers feel should be explored during the workshop. Both parts are relevant for NUS graduate students, who will

later on take a test in order to get their credit points.

For a description of the three themes, click HERE.

-**Topic 1: Entanglement of multipartite and infinite systems (ENTANGLEMENT)**

Discussion Leader: GÃ©za Giedke (Max Planck Institute Garching)

-**Topic 2: Spaces of operators, not necessarily operator algebras (OPERATOR SPACES)**

Discussion Leader: Marius Junge (University of Illinois at Urbana-Champaign)

-**Topic 3: Cones of positive maps on operator algebras (POSITIVE CONES)**

Discussion Leader: Erling StÃ¸rmer (University of Oslo)

**Session 2 on Information-Theoretic Approaches to Thermodynamics,**26 Aug - 13 Sep 2013 (Week 3 - 5)Session Organizers: Stephanie Wehner (National University of Singapore), Renato Renner (ETH Zurich), and Jens Eisert (Freie UniversitÃ¤t Berlin)

Discussion Leaders: Stephanie Wehner (National University of Singapore), Renato Renner (ETH Zurich), and Jens Eisert (Freie UniversitÃ¤t Berlin)

**Session 3 on Many-Particle Systems,**9 - 27 Sep 2013 (Week 5 - 7)* Our office will be closed on Tuesday, 24 Sep 2013 for a department outing

Session Organizer: Jakob Yngvason (UniversitÃ¤t Wien)

**- Topic 1: Many-body systems in random potentials**

Discussion Leader: Jakob Yngvason (UniversitÃ¤t Wien)

**- Topic 2: Strongly correlated fermion systems**

Discussion Leader: Manfred Salmhofer (UniversitÃ¤t Heidelberg)

**- Topic 3: Bose-Einstein Condensation**

Discussion Leader: Robert Seiringer (Institute of Science and Technology Austria (IST Austria))

**Session 4 on Open Quantum Systems,**23 Sep - 11 Oct 2013 (Week 7 - 9)* Our office will be closed on Tuesday, 24 Sep 2013 for a department outing

**- Topic 1: Relaxation, transport and stability in complex quantum open systems**

Discussion Leader: Wojciech De Roeck (UniversitÃ¤t Heidelberg)

**- Topic 2: Non-Markovianity in quantum open systems**

Discussion Leader: Sabrina Maniscalco (Heriot-Watt University)

**- Topic 3: Models of quantum machines**

Discussion Leader: Robert Alicki (The University of GdaÅ„sk)-
**Public Lectures***... Jointly organized with Centre for Quantum Technologies, NUS*Date: Thursday, 29 Aug 2013 Venue: LT33, Block S17,

Level 2, Faculty of Science, National University of Singapore, Singapore 1192606:30pm - 7:30pm **Quantum Physics, Public and Private Information, and the Lost Literature of Antiquity**

Charles Bennett, IBM, USA*... Jointly organized with Centre for Quantum Technologies, NUS*Date: Tuesday, 10 Sep 2013 Venue: LT31, Block S16,

Level 3, Faculty of Science, National University of Singapore, Singapore 1175466:30pm - 7:30pm **Gambling Against the Second Law of Thermodynamics**

Renato Renner, ETH Zurich, Switzerland

Students and researchers who are interested in attending these activities are requested to complete the online registration form.

The following do not need to register:

- Those invited to participate.
- Those applying for financial support.

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For general enquiries, please email us at ims(AT)nus.edu.sg.

For enquiries on scientific aspects of the program, please email mhqp13@quantumlah.org.

Organizing Committee · Visitors and Participants · Overview · Activities · Venue · Enquiries