Marcin Szyniszewski

Marcin Szyniszewski

Research Student

A13 Physics Building
Lancaster University
Bailrigg
Lancaster
United Kingdom
LA1 4YB

+44 (0)1524 5 92639

Analytical and numerical solutions for many-body quantum systems. Dynamics of systems out of equilibrium. Quantum phase transitions. Investigating the massless and massive Schwinger model using various approaches.

Thesis Title

Non-equilibrium dynamics of many-body quantum systems

Thesis Outline

The purpose of this project is to investigate the time evolution of integrable and non-integrable many-body quantum systems driven out of equilibrium. We will start with a simplest yet highly non-trivial realization of such systems: dynamics of a single impurity injected into a superfluid, which is relevant to both recent experiments with ultracold quantum gases [1, 2] and more established field of study of properties of 3He impurities in 4He superfluids. Despite a long history, the dynamics of a single impurity interacting with the background superfluid is not completely understood, especially the transition from subsonic to supersonic regime [3, 5].

In a special case of an integrable dynamics in one spatial dimension, normally exact solution exists [4]. Still, extracting the physical predictions from this solution is on-trivial and has not been entirely successful so far. We will start by extending the techniques of [4, 3] and coupling them with contemporary numerical techniques in order to construct a computational methodology capable of producing experimentally testable results or both subsonic and supersonic impurities.

We will then move on to investigating the role of integrability — which is of paramount importance for synergy between experiment and theory: while most theoretical methods only work in an integrable case, real-world experiments are made in the non-integrable regime (one of the requirements for integrability is that the mass of an impurity equals that of the host particles, which does holds or neither 3He contaminants in 4He nor 87Rb/41K mixtures typically used in present-day ultracold gas experiments).

During the work on this project, a student will master the aspects of theory of integrable systems and many-body techniques, statistical mechanics of low-dimensional systems, and state-of-the- art high-performance computing including Monte Carlo simulations and parallel programming techniques using Lancaster High-End Computing facilities.

Under the supervision of E Burovski, a student will employ analytical and numerical techniques for studying the dynamics of impurities in low-dimensional strongly correlated systems. Results will then be used for interpreting results of experiments made in Cambridge, Innsbruck and elsewhere.

References

  1. C. Zipkes, S. Palzer, C. Sias, M. Köhl, Nature 464, 388 (2010); C. Zipkes, L. Ratschbacher, C. Sias, M. Köhl, New J. Phys. 13, 053020 (2011).
  2. J. Catani et al. Phys. Rev. A 85, 023623 (2012)
  3. Charles J. M. Mathy, Mikhail B. Zvonarev, and Eugene Demler, Nature Physics (2012), published online 21 Oct 2012.
  4. H. Castella and X. Zotos Phys, Rev. B 47, 47 (1993).
  5. Michael Schecter, Alex Kamenev, Dimitri Gangardt, Austen Lamacraft, Phys. Rev. Lett. 108, 207001 (2012).

Research Grants

Marcin Szyniszewski is funded by EPSRC NoWNano DTC grant number EP/G03737X/1.

His participation in SCES2014 conference is possible due to Graduate School Travel Grant.

Marcin Szyniszewski's Publications

2013

Lattice Hamiltonian approach to the massless Schwinger model: precise extraction of the mass gap

Cichy, K., Kujawa-Cichy, A. & Szyniszewski, M. 07/2013 In : Computer Physics Communications. 184, 7, p. 1666-1672 7 p.

Research output: Contribution to journalJournal article

2012

Thermodynamics of localized magnetic moments in a Dirac conductor

Cheianov, V., Szyniszewski, M., Burovski, E., Sherkunov, Y. & Falko, V. 16/08/2012 In : Physical review b. 86, 5, p. - 5 p.054424

Research output: Contribution to journalJournal article

Marcin Szyniszewski's Activities

2014

Strongly Correlated Electron Systems 2014

Marcin Szyniszewski (Participant), 7/07/201411/07/2014

Activity: Conference participationParticipation in conference

The 32nd International Symposium on Lattice Field Theory

Marcin Szyniszewski (Speaker), 22/06/201428/06/2014

Activity: Conference participationParticipation in conference

NoWNano Summer Conference 2014

Marcin Szyniszewski (Participant), 9/06/201411/06/2014

Activity: Conference participationParticipation in conference

National Science and Engineering Week

Marcin Szyniszewski (Organiser), 21/03/2014

Activity: Public engagement and outreachFestival/Exhibition

2013

NoWNano Summer Conference 2013

Marcin Szyniszewski (Participant), 17/06/201320/06/2013

Activity: Conference participationParticipation in conference

Meet the Nanoscientist

Marcin Szyniszewski (Organiser), 9/02/2013

Activity: Public engagement and outreachFestival/Exhibition