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 - 2022/03/30 |

Budget | 1 759 600 PLN |

# investigators

**o) Tomasz Sowiński (PI)**

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

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

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

**o)**Andrzej Chrostowski (Feb 2018 - Jun 2019)

**o)**Dillip Nandy (Jan 2019 - Jan 2021)

**o)**Saubhik Sarkar (Oct 2018 - Feb 2021)

**o)**Jacek Dobrzyniecki (Sep 2017 - May 2021)

**o)**Marcin Feliniak (Nov 2019 - Jul 2021)

**o)**Damian Włodzyński (Apr 2018 - Mar 2022)

# 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** - D. Pęcak, T. Sowiński

**Inter-component correlations in attractive one-dimensional mass-imbalanced few-body mixtures** - J. Dobrzyniecki, T. Sowiński

**Momentum correlations of a few ultra-cold bosons escaping from an open well** - P. Kościk, T. Sowiński

**Exactly solvable model of two interacting Rydberg-dressed atoms confined in a two-dimensional harmonic trap** - T. Sowiński, M. Á. García-March

**One-dimensional mixtures of several ultracold atoms: a review** - A. Chrostowski, T. Sowiński

**Efficient construction of many-body Fock states having the lowest energies** - D. Włodzyński, D. Pęcak, T. Sowiński

**Geometry-induced entanglement in a mass-imbalanced few-fermion system** - P. Łydżba, T. Sowiński

**Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultra-cold fermions** - D. Pęcak, T. Sowiński

**Signatures of unconventional pairing in spin-imbalanced one-dimensional few-fermion systems** - D. K. Nandy, M. Haque, A. E. B. Nielsen

**Few-particle dynamics of fractional quantum Hall lattice models** - D. Nandy, T. Sowiński

**Dynamical properties of a few mass-imbalanced ultra-cold fermions confined in a double-well potential** - J. Dobrzyniecki, T. Sowiński

**Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes** - P. Wrzosek, K. Wohlfeld, D. Hofman, T. Sowiński, M. A. Sentef

**Quantum walk versus classical wave: Distinguishing ground states of quantum magnets by spacetime dynamics** - S. Sarkar, S. McEndoo, D. Schneble, A. J. Daley

**Interspecies entanglement with impurity atoms in a lattice gas** - F. Giacosa, P. Kościk, T. Sowiński

**Capturing non-exponential dynamics in the presence of two decay channels** - S. Sarkar, Ch. Mukhopadhyay, A. Bayat

**Characterization of an operational quantum resource in a critical many-body system** - P. Kościk, T. Sowiński

**Variational ansatz for p-wave fermions confined in a one-dimensional harmonic trap** - S. Sarkar, T. Sowiński

**Correlations in few two-component quantum walkers on a tilted lattice** - M. Gajda, J. Mostowski, M. Pylak, T. Sowiński, M. Załuska-Kotur

**Pauli crystals -- interplay of symmetries** - J. Dobrzyniecki, T. Sowiński

**Two Rydberg-dressed atoms escaping from an open well** - D. Nandy, T. Sowiński

**Dynamical resistivity of a few interacting fermions to the time-dependent potential barrier** - P. Kościk, A. Kuroś, A. Pieprzycki, T. Sowiński

**Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential** - T. Sowiński

**Few-body perspective on fermionic pairing in one spatial dimension** - J. Dobrzyniecki, G. Orso, T. Sowiński

**Unconventional pairing in few-fermion systems tuned by external confinement** - D. Włodzyński, T. Sowiński

**Few strongly interacting fermions of different mass driven in the vicinity of a critical point** - P. Łydżba, T. Sowiński

**Signatures of quantum chaos in low-energy mixtures of few fermions**preprint (ArXiv:2110.11218) - T. Sowiński, M. A. Garcia-March

**Fundamental limitations of the eigenvalue continuation approach**preprint (ArXiv:2202.07493) - D. Pęcak, T. Sowiński

**Unconventional pairing in few-fermion systems at finite temperature**preprint (ArXiv:2202.07639)

# 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 - T. Sowiński

**Inter-Component Correlations in One-Dimensional Mass-Imbalanced Ultra-Cold Few-Fermion Mixtures**

28th Annual International Laser Physics Workshop (contributed talk)

Gyeongju, July 11, 2019 - J. Dobrzyniecki

**Dynamics of a few interacting bosons escaping from an open well**

Young Atom Opticians (YAO 2019) (contributed talk)

Hamburg, July 28 - August 2, 2019 - T. Sowiński

**Inter-Component Correlations in One-Dimensional Mass-Imbalanced Ultra-Cold Few-Fermion Mixtures**

SuperFluctuations 2019 (invited talk)

Padova, September 3, 2019 - T. Sowiński

**Emergence of pairing in systems of several particles**

Coherence in Fermionic Matter: Fermion Pairing in Cold Atoms and Superconductors (invited talk)

Bad Honnef, October 15, 2019 - T. Sowiński

**Critical transitions of spatial fragmentation in 1D mass-imbalanced few-fermion systems**

SuperFluctuations 2020 (invited talk)

Camerino Web Conference, June 22, 2020 - D. Włodzyński

**Mass-Imbalanced Mixture of a Few Strongly Interacting Fermions Driven Through a Critical Point**

29th Annual International Laser Physics Workshop (contributed talk)

On-line conference, July 19-23, 2021

# 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 - S. Sarkar

**Inter-species entanglement in two-species bosons in optical lattices**

Universal Themes of Bose-Einstein Condensation (UBEC 2019)

Pittsburgh, April 1-5, 2019 - J. Dobrzyniecki

**Dynamics of a few interacting bosons escaping from an open well**

Nanotechnology Meets Quantum Information (NanoQI'19)

Donostia-San Sebastian, July 22-26, 2019 - J. Dobrzyniecki

**Dynamics of a few interacting bosons escaping from an open well**

Time Crystals and Related Phenomena

Kraków, September 4-6, 2019 - D. Włodzyński

**Inter-component correlations in few-fermion systems induced by a shape of an external confinement**

Coherence in Fermionic Matter: Fermion Pairing in Cold Atoms and Superconductors

Bad Honnef, October 13-16, 2019 - J. Dobrzyniecki

**Dynamics of a few interacting bosons escaping from an open well**

Coherence in Fermionic Matter: Fermion Pairing in Cold Atoms and Superconductors

Bad Honnef, October 13-16, 2019 - D. Nandy

**Dynamical properties of a few mass-imbalanced ultra-cold fermions confined in a double-well potential**

Coherence in Fermionic Matter: Fermion Pairing in Cold Atoms and Superconductors

Bad Honnef, October 13-16, 2019 - T. Sowiński

**Dynamical resistivity of a few interacting fermions to the time-dependent potential barrier**

Quantum Optics X

Toruń, September 5-11, 2021 - D. Włodzyński

**Mass-Imbalanced Mixture of a Few Strongly Interacting Fermions Driven Through a Critical Point**

Quantum Optics X

Toruń, September 5-11, 2021