scientific grant raport

# general info

Title (in eng) | Two-component mixtures of a few attractive ultra-cold fermions |

Title (in pol) | Dwuskładnikowe mieszaniny kilku przyciągających sięultrazimnych fermionów |

NCN Grant No | 2016/22/E/ST2/00555 |

Realization period | 2017/03/31 - 2021/03/30 |

# investigators

**o) Tomasz Sowiński (PI)**

**o)**Saubhik Sarkar

**o)**Jacek Dobrzyniecki

**o)**PhD Student -

**Open Position**

**o)**Andrzej Chrostowski

**o)**Damian Włodzyński

**o)**Elnaz Darsheshdar (Oct 2017 - Mar 2018)

**o)**Marcin Płodzień (Oct 2017 - Sep 2018)

**o)**Dariusz Wiater (Oct 2017 - Sep 2018)

# papers

- D. Pęcak, A. S. Dehkharghani, N. T. Zinner, T. Sowiński

**Four fermions in a one-dimensional harmonic trap: Accuracy of a variational-ansatz approach** - D. Wiater, T. Sowiński, J. Zakrzewski

**Two bosonic quantum walkers in one-dimensional optical lattices** - D. Rakshit, J. Mostowski, T. Sowiński, M. Załuska-Kotur, M. Gajda

**On the observability of Pauli crystals** - D. Pęcak, M. Gajda, T. Sowiński

**Experimentally accessible invariants encoded in interparticle correlations of harmonically trapped ultra-cold few-fermion mixtures** - J. Dobrzyniecki, T. Sowiński

**Effective two-mode description of a few ultra-cold bosons in a double-well potential** - P. Kościk, T. Sowiński

**Exactly solvable model of two trapped quantum particles interacting via finite-range soft-core interactions** - J. Dobrzyniecki, X. Li, A. E. B. Nielsen, T. Sowiński

**Effective three-body interactions for bosons in a double-well confinement** - X. Li, D. Pęcak, T. Sowiński, J. Sherson, A. E. B. Nielsen

**Global optimization for quantum dynamics of few-fermion systems** - T. Sowiński

**Ground-state magnetization in mixtures of a few ultra-cold fermions in one-dimensional traps** - M. Płodzień, T. Sowiński, S. Kokkelmans

**Simulating polaron biophysics with Rydberg atoms** - J. Dobrzyniecki, T. Sowiński

**Dynamics of a few interacting bosons escaping from an open well** - M. Płodzień, R. Demkowicz-Dobrzański, T. Sowiński

**Few-fermion thermometry** - P. Kościk, M. Płodzień, T. Sowiński

**Variational approach for interacting ultra-cold atoms in arbitrary one-dimensional confinement**

# conference talks

- T. Sowiński

**Mass-imbalanced mixtures of several ultra-cold fermions in one-dimensional traps**

Quantum Optics IX (invited talk)

Gdańsk, September 22, 2017 - T. Sowiński

**The Gajda's ansatz for many-body systems - its failures and successes**

M&M Symposium (invited talk)

October 20, 2017 - T. Sowiński

**Pauli Crystals: hidden geometric structures of the quantum statistics**

Current View on Quantum Hall Physics and 2D Correlations (invited talk)

Wrocław, January 12, 2018 - T. Sowiński

**Several Attractively Interacting Fermions Confined in a One-Dimensional Trap**

Exotic Interactions in Quantum Correlated Materials (SCES 2018) (invited talk)

Kraków, June 13, 2018 - T. Sowiński

**Few-fermion thermometry**

QTech 2018 (contributed talk)

Paris, September 5, 2018 - J. Dobrzyniecki

**Effective two-mode description of the dynamics of bosons in a double well**

Quantum Technologies IX (contributed talk)

Hel, September 11, 2018 - M. Płodzień

**Few-fermion thermometry**

Quantum Technologies IX (contributed talk)

Hel, September 15, 2018

# conference posters

- J. Dobrzyniecki

**Exact dynamics of two ultra-cold bosons in a one-dimensional double-well potential**

Quantum Optics IX

Gdańsk, September 17-23 2017 - J. Dobrzyniecki

**Exact dynamics of two ultra-cold bosons in a one-dimensional double-well potential**

Les Houches predoc school on Cold atoms and quantum transport

Les Houches, October 2-13, 2017 - D. Wiater

**Impact of geometry on many-body localization**

26th International Conference on Atomic Physics (ICAP 2018)

Barcelona, July 22-27, 2018 - D. Wiater

**Impact of geometry on many-body localization**

Small and Medium Sized Cold Atom Systems

Benasque, July 29 - August 4, 2018