Research Output per year

# Organization profile

### Organisation profile

#### Random matrix theory

Random matrices arise whenever complex systems are described by linear equations. For example, they are central to the mathematical description of complex quantum systems, such as molecular and nano-electrical networks, telecommunications in complex environments, large computer networks, and string theory.

Bristol has an internationally leading research group developing the fundamentals of random matrix theory and exploring significant new applications, for example to number theory and quantum information theory.

#### Quantum chaos

Newton's laws of motion accurately describe how relatively large objects move, but they fail for very small objects. They then have to be replaced by quantum mechanical laws of motion. For example, quantum mechanics is needed to describe the dynamics of the electrons inside atoms and molecules. The borderland where Newton's laws give way to quantum mechanics is mathematically extremely interesting, particularly when the Newtonian dynamics is chaotic.

## Fingerprint Dive into the research topics where Mathematical Physics is active. These topic labels come from the works of this organisation's members. Together they form a unique fingerprint.

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## Profiles

## Professor Carl P Dettmann

- Probability, Analysis and Dynamics
- School of Mathematics - Professor of Applied Mathematics
- Mathematical Physics

Person: Academic , Member, Group lead

## Professor Tamara Grava

Person: Academic , Member

## Professor Noah Linden

- Fundamental Bioscience
- School of Mathematics - Professor of Theoretical Physics
- The Bristol Centre for Nanoscience and Quantum Information
- Applied Mathematics
- Quantum Information Theory
- Mathematical Physics

Person: Academic , Member

## Research Output

## Dynamics of ferromagnetic domain walls under extreme fields

Goussev, A., Robbins, J. M., Slastikov, V. & Vasylkevych, S., 28 Jan 2020, In : Physical Review B. 101, 2, 5 p., 020418(R).Research output: Contribution to journal › Article (Academic Journal)

## Entanglement entropy of two disjoint intervals separated by one spin in a chain of free fermions

Brightmore, L. J., Gehér, G., Its, A. R., Mezzadri, F., Mo, M. Y., Korepin, V. E. & Virtanen, J. A., 15 Jun 2020, (Accepted/In press) In : Journal of Physics A: Mathematical and Theoretical. 26 p.Research output: Contribution to journal › Article (Academic Journal)

## Gains v. losses, or context dependence generated by confusion?

Houston, A. I. & Wiesner, K., 1 Mar 2020, In : Animal Cognition. 23, 2, p. 361-366 6 p., 135203.Research output: Contribution to journal › Article (Academic Journal)

## Projects

## QECDT: EPSRC Centre for Doctoral Training in Quantum Engineering

Turner, P. S., Thompson, M. G., O'Brien, J. L., Linden, N., Rarity, J. G. & Mcintosh-Smith, S. N.

1/04/14 → 30/09/22

Project: Research, Parent

## Research Visit from Professor Hans Kneupfer

Robbins, J. M. & Slastikov, V.

10/04/16 → 14/04/16

Project: Research

## Student theses

## Boundary conditions for torus maps and spectral statistics

Author: Mezzadri, F., 1999Supervisor: Keating, J. (Supervisor)

Student thesis: Doctoral Thesis › Doctor of Philosophy (PhD)

## Complexity and Simulation of Many-Body Quantum Systems

Author: Piddock, S., 23 Jan 2019Supervisor: Montanaro, A. (Supervisor) & Clifford, R. (Supervisor)

Student thesis: Doctoral Thesis › Doctor of Philosophy (PhD)

## Quantum Algorithms and Complexity in Non-standard Models

Author: Cade, C. W., 23 Jan 2020Supervisor: Montanaro, A. (Supervisor)

Student thesis: Doctoral Thesis › Doctor of Philosophy (PhD)

## Prizes

## LMS prizes - Whitehead Prize

Snaith, Nina C (Recipient), 2008

Prize: Prizes, Medals, Awards and Grants

## London Mathematical Society Fröhlich Prize

Mezzadri, Francesco (Recipient), 29 Jun 2018

Prize: Prizes, Medals, Awards and Grants

## Activities

## EPSRC Fellowship - New insights in quantum algorithms and complexity.

Ashley Montanaro (Recipient)

Activity: Other activity types › Fellowship awarded competitively

## Journal of Physics A: Mathematical and General (Journal)

Noah Linden (Editor)

Activity: Publication peer-review and editorial work types › Editorial activity