### ◦ info

I was recently awarded the SONATA BIS 13 grant *Properties of low-dimensional quantum systems with charge, spin, and orbital degrees of freedom* from the National Science Centre (NCN). Beginning autumn 2024 I will have openings for one PhD student (4 years scholarship) and one postdoc (2 years contract). Interested persons should check the links below:

⚬ PhD scholarship info: EURAXESS page; NCN page; PWr page

⚬ Postdoc position info: EURAXESS page; NCN page; PWr page

**My appointments & education**

⚬ since 2019 Wrocław University of Science and Technology (Wrocław, Poland)

⚬ 2022 Habilitation at University of Warsaw (Warsaw, Poland)

⚬ 2016 - 2019 Oak Ridge National Laboratory (Oak Ridge, USA)

⚬ 2016 - 2019 University of Tennessee (Knoxville, USA)

⚬ 2013 - 2016 Crete Center for Quantum Complexity and Nanotechnology (Heraklion, Greece)

⚬ 2013 - 2016 University of Crete (Heraklion, Greece)

⚬ 2010 - 2013 Jožef Stefan Institute, Ljubljana (Ljubljana, Slovenia)

⚬ 2010 - 2013 PhD studies under Prof. Peter Prelovšek at University of Ljubljana (Ljubljana, Slovenia)

⚬ 2005 - 2010 MSc studies under Prof. Cezary Gonera at University of Łódź (Łódź, Poland)

**Links**

⚬ Full résumé (pdf)

⚬ arXiv publication list

⚬ Google Scholar profile

⚬ Data repository

**Group members & student projects**

Me :)
__Diploma students__

⚬ Jakub Prokopczyk - *Spin dynamics of doped two-orbital Hubbard model*

⚬ Błażej Zdobylak - *Particle expansion in tight-binding quantum chaotic system*
__Student project__

⚬ Jagoda Maląg - *Ergodicity of quantum circuits*

⚬ Jagoda Zawisza - *Ergodicity of quantum circuits*

**Past**
__PhD__

⚬ 2023 Maksymilian Środa *Electronic and magnetic properties of low-dimensional strongly correlated multiorbital systems*
__Master__

⚬ 2021 Rafał Świętek *Exact diagonalization studies of generalized Kondo-Heisenberg model*

⚬ 2021 Łukasz Iwanek *Many-body mobility edge in random-exchange systems*
__Diploma__

⚬ 2024 Kacper Drabikowski *Correlation lengths within orbital-selective Mott phase*

⚬ 2024 Sami Elgalal *Impact of charge fluctuations on the Haldane phase*

⚬ 2023 Agnieszka Jażdżewska *Flocking: properties of inertia spin model*

⚬ 2021 Bartosz Grygielski *Spin textures induced by Majorana fermions*

⚬ 2019 Łukasz Iwanek *Many-body localization of the domain walls*

### ◦ teaching

**Bachelor courses**

⚬ Quantum Mechanics I (2023/2024)

⚬ Quantum Mechanics II (2023/2024)

⚬ Quantum many‐body theory (2022/2023)

**Master courses**

⚬ Matrix product state representation of quantum mechanics - monographic lecture (2022/2023)

⚬ Numerical methods for quantum systems (2020/2021, 2022/2023)

### ◦ research interest

⚬ **Strongly correlated multi-orbital systems**

Past experience in strongly correlated quantum systems, especially Cu-based materials, showed that the high-temperature superconductivity is closely connected to a bad-metal state and a nearby antiferromagnetic order. As such, there has been a considerable effort devoted to the understanding of the electron correlation effects and the associated magnetism. On the other hand, the multi-orbital system properties, relevant for Fe-based materials, are much less explored. Iron-based superconductors display various phases originating in the multi-orbital nature of iron itself, and as a consequence, in the competition between electronic, orbital, and spin degrees of freedom. Prominent among these novel effects is the orbital-selective Mott phase (OSMP), where electronic correlations cause a unique mixture of metallic and insulating behaviour.

Our group investigates (primarily using numerical techniques) static and dynamic properties of multi-orbital systems with the emphasis on its magnetic properties and the role of Hund’s coupling. One can expect that the competition of the latter and Coulomb interaction can lead to a novel type of frustrated magnetism. Furthermore, a nontrivial magnetic order within OSMP could lead to nontrivial topological effects.

⚬ **Transport properties in low-dimensional quantum systems**

Transport in many-body systems of interacting fermions established several novel - entirely quantum - aspects going well beyond usual weak-scattering or Boltzmann-type approaches to transport. Such behaviour is especially pronounced in the system with reduced dimensionality (e.g., in 1D chains and quasi-1D ladders). Furthermore, due to the possibility of accurate treatment on the latter, the low-dimensional systems have become a playground for condensed-matter physicists to test various theoretical scenarios. A prominent fundamental model and an experimentally relevant example of such a phenomenon is the one-dimensional antiferromagnetic Heisenberg model describing the low-dimensional quantum magnets even at high temperatures.

We are interested in various transport properties of the low-dimensional quantum system. Our study focuses, among others, on the effects of the integrability of the model, many-body localization, the physics of random interaction exchange, non-equilibrium properties, and linear response answer of the systems to experimentally relevant perturbations.

⚬ **Flocking of multi-agent dynamical systems**

I recently got interested in the classical multi-agent dynamical systems relevant to the collective decision-making in the biological systems, e.g., the transfer of long-range information in birds' flocks. I'm interested in the extension of the so-called *inertia spin model* to leaderless flocking.

### ◦ funding

*Properties of low-dimensional quantum systems with charge, spin, and orbital degrees of freedom*

SONATA BIS 13 2023/50/E/ST3/00033

2024-2029, Wrocław University of Science and Technology, Poland

## click to see published works

*Magnetic properties of strongly correlated multi-orbital systems*

OPUS 18 2019/35/B/ST3/01207

2020-2023, Wrocław University of Science and Technology, Poland

## click to see published works

(1) ● Phys. Rev. B**104**, 045128 (2021)

(2) ● Phys. Rev. B

**104**, 235135 (2021)

(3) ● Nat. Commun.

**12**, 2955 (2021)

(4) ● Phys. Rev. B

**105**, 075119 (2022)

(5) ● Phys. Rev. B

**107**, 045134 (2023)

(6) ● Phys. Rev. B

**108**, L081102 (2023)

(7) ● Nat. Commun.

**14**, 8524 (2023)

⚬ see the publications list for more info

*Polish Returns*PPN/PPO/2018/1/00035

2019-2022, Wrocław University of Science and Technology, Poland

## click to see published works

(1) ● Phys. Rev. Lett.**123**, 027203 (2019)

(2) ● Phys. Rev. B

**101**, 035134 (2020)

(3) ● Proc. Natl. Acad. Sci. USA

**117**, 16226 (2020)

(4) ● Phys. Rev. Research

**2**, 023024 (2020)

(5) ● Phys. Rev. B

**101**, 094431 (2020)

(6) ● Phys. Rev. B

**102**, 035149 (2020)

(7) ● Phys. Rev. B

**102**, 115134 (2020)

(8) ● Phys. Rev. B

**102**, 161111(R) (2020)

(9) ● Nat. Commun.

**12**, 2955 (2021)

(10) ● Phys. Rev. B

**103**, 235115 (2021)

(11) ● Phys. Rev. B

**103**, L241107 (2021)

(12) ● Phys. Rev. B

**104**, 045128 (2021)

(13) ● Phys. Rev. B

**104**, 115163 (2021)

(14) ● Phys. Rev. B

**104**, 235135 (2021)

(15) ● Phys. Rev. B

**105**, 075119 (2022)

(16) ● Phys. Rev. B

**105**, L081105 (2022)

(17) ● Phys. Rev. B

**105**, 134420 (2022)

(18) ● SciPost Phys.

**13**, 013 (2022)

(19) ● Phys. Rev. B

**106**, 245104 (2022)

(20) ● Phys. Rev. B

**107**, 045134 (2023)

(21) ● Phys. Rev. B

**108**, L081102 (2023)

⚬ see the publications list for more info

I'm using the high performance computing resources provided by WCSS center.

Since 2020, Wrocław University of Science and Technology, Poland

Thanks to the collaboration with Prof. Dr. Elbio Dagotto, I'm using the high performance computing resources provided by ISAAC Legacy and ISAAC Next Generation clusters of UTK.

Since 2020, University of Tennessee, Knoxville, USA

### ◦ publications

(54) **Luther-Emery liquid and dominant singlet superconductivity in the two-orbital Hubbard chain**

P. Laurell, __J. Herbrych__, G. Alvarez, and E. Dagotto

Phys. Rev. B **110**, 064515 (2024)
& arXiv: cond-mat/2311.13440

(53) **Lindblad dynamics from spatio-temporal correlation functions in nonintegrable spin-1/2 chains with different boundary conditions**

M. Kraft, J. Richter, F. Jin, S. Nandy, Zala Lenarčič, __J. Herbrych__, K. Michielsen, H. De Raedt, J. Gemmer, and R. Steinigeweg

Phys. Rev. Res. **6**, 023251 (2024)
& arXiv: cond-mat/2402.18177

(52) **Long-living prethermalization in nearly integrable spin ladders**

J. Pawłowski, M. Panfil, __J. Herbrych__, and M. Mierzejewski

Phys. Rev. B **109**, L161109 (2024)
& arXiv: cond-mat/2312.11975

(51) **Emergent dipole moment conservation and subdiffusion in tilted chains**

S. Nandy, __J. Herbrych__, Z. Lenarčič, A. Głódkowski, P. Prelovšek, and M. Mierzejewski

Phys. Rev. B **109**, 115120 (2024)
& arXiv: cond-mat/2310.01862

(50) ●
**Transition to the Haldane phase driven by electron-electron correlations**

A. Jażdżewska, M. Mierzejewski, M. Środa, A. Nocera, G. Alvarez, E. Dagotto, and __J. Herbrych__

Nat. Commun. **14**, 8524 (2023)
& arXiv: cond-mat/2304.11154

(49) **The spin-1/2 XXZ chain coupled to two Lindblad baths: Constructing nonequilibrium steady states from equilibrium correlation functions**

T. Heitmann, J. Richter, F. Jin, S. Nandy, Z. Lenarčič, __J. Herbrych__, K. Michielsen, H. De Raedt, J. Gemmer, and R. Steinigeweg

Phys. Rev. B **108**, L201119 (2023)
& arXiv: cond-mat/2303.00430

(48) **Spatially-anisotropic S=1 square-lattice antiferromagnet with single-ion anisotropy realized with a Ni(II) pyrazine-n,n'-dioxide (pyzdo) coordination polymer**

J. L. Manson, D. M. Pajerowski, J. M. Donovan, B. Twamley, P. A. Goddard, R. Johnson, J. Bendix, J. Singleton, T. Lancaster, S. J. Blundell, __J. Herbrych__, P. J. Baker, A. J. Steele, F. L. Pratt, I. Franke-Chaudet, R. D. McDonald, A. Plonczak, and P. Manuel

Phys. Rev. B **108**, 094425 (2023)

(47) **Spin diffusion in perturbed isotropic Heisenberg spin chain**

S. Nandy, Z. Lenarčič, E. Ilievski, M. Mierzejewski, __J. Herbrych__, P. Prelovšek

Phys. Rev. B **108**, L081115 (2023)
& arXiv: cond-mat/2211.17181

(46) **Real-time broadening of bath-induced density profiles from closed-system correlation functions**

T. Heitmann, J. Richter, __J. Herbrych__, J. Gemmer, and R. Steinigeweg

Phys. Rev. E **108**, 024102 (2023)
& arXiv: cond-mat/2210.10528

(45) ●●
**Hund bands in spectra of multiorbital systems**

M. Środa, J. Mravlje, G. Alvarez, E. Dagotto, and __J. Herbrych__

Phys. Rev. B **108**, L081102 (2023)
& arXiv: cond-mat/2210.11209

(44) **Slow diffusion and Thouless localization criterion in modulated spin chains**

M. Mierzejewski, __J. Herbrych__, P. Prelovšek

Phys. Rev. B **108**, 035106 (2023)
& arXiv: cond-mat/2302.03325

(43) ●●
**Quasiballistic transport in long-range anisotropic Heisenberg model**

M. Mierzejewski, J. Wronowicz, J. Pawłowski, and __J. Herbrych__

Phys. Rev. B **107**, 045134 (2023)
& arXiv: cond-mat/2206.05960

(42) ●
**From dissipationless to normal diffusion in easy-axis Heisenberg spin chain**

P. Prelovšek, S. Nandy, Z. Lenarčič, M. Mierzejewski, and __J. Herbrych__

Phys. Rev. B **106**, 245104 (2022)
& arXiv: cond-mat/2205.11891

(41) ●
**Multiple relaxation times in perturbed XXZ chain**

M. Mierzejewski, J. Pawłowski, P. Prelovšek, and __J. Herbrych__

SciPost Phys. **13**, 013 (2022)
& arXiv: cond-mat/2112.08158

(40) ●
**High-pressure inelastic neutron scattering study of the S=1 spin chain [Ni(HF _{2})(3-Clpyridine)_{4}]BF_{4}**

D. M. Pajerowski, A. P. Podlesnyak,

__J. Herbrych__, and J. Manson

Phys. Rev. B

**105**, 134420 (2022) & arXiv: cond-mat/2206.06249

(39) ●
**Relaxation at different length-scales in models of many-body localization**
__J. Herbrych__, M. Mierzejewski, and P. Prelovšek

Phys. Rev. B **105**, L081105 (2022)
& arXiv: cond-mat/2110.15635

(38) ●●
**Prediction of orbital selective Mott phases and block magnetic states in the quasi-one-dimensional iron chain Ce _{2}O_{2}FeSe_{2} under hole and electron doping**

L.-F. Lin, Y. Zhang, G. Alvarez,

__J. Herbrych__, A. Moreo, and E. Dagotto

Phys. Rev. B

**105**, 075119 (2022) & arXiv: cond-mat/2112.04049

(37) ●●
**Magnetization dynamics fingerprints of an excitonic condensate t ^{4}_{2g}magnet**

N. Kaushal,

__J. Herbrych__, G. Alvarez, and E. Dagotto

Phys. Rev. B

**104**, 235135 (2021) & arXiv: cond-mat/2110.11828

(36) ●
**Coexistence of diffusive and ballistic transport in integrable quantum lattice models**

P. Prelovšek, M. Mierzejewski, and __J. Herbrych__

Phys. Rev. B **104**, 115163 (2021)
& arXiv: cond-mat/2107.02454

(35) ●●
**Quantum magnetism of iron-based ladders: blocks, spirals, and spin flux**

M. Środa, E. Dagotto, and __J. Herbrych__

Phys. Rev. B **104**, 045128 (2021)
& arXiv: cond-mat/2105.04391

(34) ●
**Diffusion in the Anderson model in higher dimensions**

P. Prelovšek and __J. Herbrych__

Phys. Rev. B **103**, L241107 (2021)
& arXiv: cond-mat/2104.07801

(33) ●
**Ballistic transport in integrable lattice models with degenerate spectra**

M. Mierzejewski, __J. Herbrych__, and P. Prelovšek

Phys. Rev. B **103**, 235115 (2021)
& arXiv: cond-mat/2102.07467

(32) ●●
**Interaction-induced topological phase transition and Majorana edge states in low-dimensional orbital-selective Mott insulators**
__J. Herbrych__, M. Środa, G. Alvarez, M. Mierzejewski, and E. Dagotto

Nat. Commun. **12**, 2955 (2021)
& arXiv: cond-mat/2011.05646

(31) ●
**Resistivity and its fluctuations in disordered many-body systems: from chains to planes**

M. Mierzejewski, M. Środa, __J. Herbrych__, and P. Prelovšek

Phys. Rev. B **102**, 161111(R) (2020)
& arXiv: cond-mat/2003.00495

(30) ●
**Block orbital-selective Mott insulators: a spin excitation analysis**
__J. Herbrych__, G. Alvarez, A. Moreo, and E. Dagotto

Phys. Rev. B **102**, 115134 (2020)
& arXiv: cond-mat/2006.09495

(29) ●
**Prediction of exotic magnetic states in the alkali metal quasi-one-dimensional iron selenide compound Na _{2}FeSe_{2}**

B. Pandey, L.-F. Lin, R. Soni, N. Kaushal,

__J. Herbrych__, G. Alvarez, and E. Dagotto

Phys. Rev. B

**102**, 035149 (2020) & arXiv: cond-mat/2005.13132

(28) ●
**Block-spiral magnetism: An exotic type of frustrated order**
__J. Herbrych__, J. Heverhagen, G. Alvarez, M. Daghofer, A. Moreo, and E. Dagotto

Proc. Natl. Acad. Sci. USA **117**, 16226 (2020)
& arXiv: cond-mat/1911.12248

(27) ●
**Vanishing Wilson ratio as the hallmark of quantum spin-liquid models**

P. Prelovšek, K. Morita, T. Tohyama, and __J. Herbrych__

Phys. Rev. Research **2**, 023024 (2020)
& arXiv: cond-mat/1912.00876

(26) ●
**Inelastic neutron scattering study of the anisotropic S=1 spin chain [Ni(HF _{2})(3-Clpyridine)_{4}]BF_{4}**

D. M. Pajerowski, J. L. Manson,

__J. Herbrych__, J. Bendix, A. P. Podlesnyak, J. M. Cain, and M. W. Meisel

Phys. Rev. B

**101**, 094431 (2020) & arXiv: cond-mat/2001.08555

(25) ●
**Charge-density-wave melting in the one-dimensional Holstein model**

J. Stolpp, __J. Herbrych__, F. Dorfner, E. Dagotto, and F. Heidrich-Meisner

Phys. Rev. B **101**, 035134 (2020)
& arXiv: cond-mat/1911.01718

(24) ●
**Novel magnetic block states in low-dimensional iron-based superconductors**
__J. Herbrych__, J. Heverhagen, N. D. Patel, G. Alvarez, M. Daghofer, A. Moreo, and E. Dagotto

Phys. Rev. Lett. **123**, 027203 (2019)
& arXiv: cond-mat/1812.00325

(23) **Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum**

J. Richter, F. Jin, L. Knipschild, __J. Herbrych__, H. De Raedt, K. Michielsen, J. Gemmer, and R. Steinigeweg

Phys. Rev. B **99**, 144422 (2019)
& arXiv: cond-mat/1811.02806

(22) **Sudden removal of a static force in a disordered system: Induced dynamics, thermalization, and transport**

J. Richter, __J. Herbrych__, and R. Steinigeweg

Phys. Rev. B **98**, 134302 (2018)
& arXiv: cond-mat/1808.00497

(21) **Non-equilibrium mass transport in the Fermi-Hubbard model**

S. Scherg, T. Kohlert, __J. Herbrych__, J. Stolpp, P. Bordia, U. Schneider, F. Heidrich-Meisner, I. Bloch, and M. Aidelsburger

Phys. Rev. Lett. **121**, 130402 (2018)
& arXiv: cond-mat/1805.10990

(20) **Spin dynamics of the block orbital-selective Mott phase**
__J. Herbrych__, N. Kaushal, A. Nocera, G. Alvarez, A. Moreo, and E. Dagotto

Nat. Commun. **9**, 3736 (2018)
& arXiv: cond-mat/1804.01959

(19) **Density-matrix renormalization group study of a three-orbital Hubbard model with spin-orbit coupling in one dimension**

N. Kaushal, __J. Herbrych__, A. Nocera, G. Alvarez, A. Moreo, F. A. Reboredo, and E. Dagotto

Phys. Rev. B **96**, 155111 (2017)
& arXiv: cond-mat/1707.04313

(18) **Efficiency of fermionic quantum distillation**
__J. Herbrych__, A. E. Feiguin, E. Dagotto, and F. Heidrich-Meisner

Phys. Rev. A **96**, 033617 (2017)
& arXiv: cond-mat/1707.01792

(17) **Possible bicollinear nematic state with monoclinic lattice distortions in iron telluride compounds**

C. B. Bishop, __J. Herbrych__, E. Dagotto, and A. Moreo

Phys. Rev. B **96**, 035144 (2017)
& arXiv: cond-mat/1704.03495

(16) **Self-consistent approach to many-body localization and subdiffusion**

P. Prelovšek and __J. Herbrych__

Phys. Rev. B **96**, 035130 (2017)
& arXiv: cond-mat/1609.05450

(15) **Dynamics of locally coupled oscillators with next-nearest-neighbor interaction**
__J. Herbrych__, A. G. Chazirakis, N. Christakis, and J. J. P. Veerman

Differ. Equ. & Dyn. Syst. **29**, 487 (2021)
& arXiv: math/1506.07381

(14) **Density correlations and transport in models of many-body localization**

P. Prelovšek, M. Mierzejewski, O. Barišić, and __J. Herbrych__

Ann. Phys. (Berlin) **529**, 1600362 (2017)
& arXiv: cond-mat/1611.03611

(13) **Interaction-induced weakening of localization in few-particle disordered Heisenberg chains**

D. Schmidtke, R. Steinigeweg, __J. Herbrych__, and J. Gemmer

Phys. Rev. B **95**, 134201 (2017)
& arXiv: cond-mat/1607.05664

(12) **Effective realization of random magnetic fields in compounds with large single–ion anisotropy**
__J. Herbrych__ and J. Kokalj

Phys. Rev. B **95**, 125129 (2017)
& arXiv: cond-mat/1606.06013

(11) **Universal dynamics of density correlations at the transition to many–body localized state**

M. Mierzejewski, __J. Herbrych__, and P. Prelovšek

Phys. Rev. B **94**, 224207 (2016)
& arXiv: cond-mat/1607.04992

(10) **Typicality approach to the optical conductivity in thermal and many-body localized phases**

R. Steinigeweg, __J. Herbrych__, F. Pollmann, and W. Brenig

Phys. Rev. B **94**, 180401(R) (2016)
& arXiv: cond-mat/1512.08519

(9) **Light induced magnetization in a spin S=1 easy - plane antiferromagnetic chain**
__J. Herbrych__ and X. Zotos

Phys. Rev. B **93**, 134412 (2016)
& arXiv: cond-mat/1505.03004

(8) **Heat conductivity of the Heisenberg spin-1/2 ladder: From weak to strong breaking of integrability**

R. Steinigeweg, __J. Herbrych__, X. Zotos, and W. Brenig

Phys. Rev. Lett. **116**, 017202 (2016)
& arXiv: cond-mat/1503.03871

(7) **Antiferromagnetic order in weakly coupled random spin chains**

J. Kokalj, __J. Herbrych__, A. Zheludev, and P. Prelovšek

Phys. Rev. B **91**, 155147 (2015)
& arXiv: cond-mat/1409.1757

(6) **Effective S=1/2 description of the S=1 chain with strong easy plane anisotropy**

C. Psaroudaki, __J. Herbrych__, J. Karadamoglou, P. Prelovšek, X. Zotos, and N. Papanicolaou

Phys. Rev. B **89**, 224418 (2014)
& arXiv: cond-mat/1404.3064

(5) **Local spin relaxation within the random Heisenberg chain**
__J. Herbrych__, J. Kokalj, and P. Prelovšek

Phys. Rev. Lett. **111**, 147203 (2013)
& arXiv: cond-mat/1307.0370

(4) **Eigenstate thermalization within isolated spin-chain systems**

R. Steinigeweg, __J. Herbrych__, and P. Prelovšek

Phys. Rev. E **87**, 012118 (2013)
& arXiv: cond-mat/1208.6143

(3) **Spin hydrodynamics in the S=1/2 anisotropic Heisenberg chain**
__J. Herbrych__, R. Steinigeweg, and P. Prelovšek

Phys. Rev. B **86**, 115106 (2012)
& arXiv: cond-mat/1206.4248

(2) **Coexistence of anomalous and normal diffusion in integrable Mott insulators**

R. Steinigeweg, __J. Herbrych__, P. Prelovšek, and M. Mierzejewski

Phys. Rev. B **85**, 214409 (2012)
& arXiv: cond-mat/1201.2844

(1) **Finite-temperature Drude weight within the anisotropic Heisenberg chain**
__J. Herbrych__, P. Prelovšek, and X. Zotos

Phys. Rev. B **84**, 155125 (2011)
& arXiv: cond-mat/1107.3027