Arindam Mallick

@zoa.ift.uj.edu.pl

Assistant Professor (Postdoc) / Quantum Simulations Group / Atomic Optics Department, Institute of Theoretical Physics, Jagiellonian University in Krakow ul. Lojasiewicza 11, 30-348 Kraków, Poland
Jagiellonian University in Krakow ul. Lojasiewicza 11, 30-348 Kraków, Poland

Arindam Mallick


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https://researchid.co/arindammallick

RESEARCH, TEACHING, or OTHER INTERESTS

Condensed Matter Physics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics, Nuclear and High Energy Physics
18

Scopus Publications

252

Scholar Citations

8

Scholar h-index

7

Scholar i10-index

Scopus Publications

  • String-breaking dynamics in an Ising chain with local vibrations
    Arindam Mallick, Maciej Lewenstein, Jakub Zakrzewski, Marcin Płodzień
    Physical Review B, 2025
  • Flat bands in tight-binding lattices with anisotropic potentials
    Arindam Mallick, Alexei Andreanov
    Physical Review B, 2025
    We consider tight-binding models on Bravais lattices with anisotropic onsite potentials that vary along a given direction and are constant along the transverse one. Inspired by our previous work on flatbands in anti-$\\mathcal{PT}$ symmetric Hamiltonians [Phys. Rev. A 105, L021305 (2022)], we construct an anti-$\\mathcal{PT}$ symmetric Hamiltonians with an $E=0$ flatband by tuning the hoppings and the shapes of potentials. This construction is illustrated for the square lattice with bounded and unbounded potentials. Unlike flatbands in short-ranged translationally invariant Hamiltonians, we conjecture that the considered $E=0$ flatbands do not host compact localized states. Instead the flatband eigenstates exhibit a localization transition along the potential direction upon increasing the potential strength for bounded potentials. For unbounded potentials flatband eigenstates are always localized irrespective of the potential strength.
  • Anomalous localization in spin chains with tilted interactions
    Arindam Mallick, Jakub Zakrzewski
    Physical Review B, 2024
    Quantum simulators of lattice gauge theories involve dynamics of typically short-ranged interacting particles and dynamical fields. Elimination of the latter via Gauss law leads to infinite range interactions as exemplified by the Schwinger model in a staggered formalism. This motivates the study of long-range interactions, not necessarily diminishing with the distance. Here we consider localization properties of a spin chain with interaction strength growing linearly along the chain as for the Schwinger model. We generalize the problem to models with different interaction ranges. Using exact diagonalization we find the participation ratio of all eigenstates, which allows us to quantify the localization volume in Hilbert space. Surprisingly, the localization volume changes nonmonotonically with the interaction range. Our study is relevant for quantum simulators of lattice gauge theories implemented in state-of-the-art cold atom/ion devices, and it could help to reveal hidden features in disorder-free confinement phenomena in long-range interacting systems.
  • Intermediate superexponential localization with Aubry-André chains
    Arindam Mallick, Alexei Andreanov, Sergej Flach
    Physical Review B, 2023
    We demonstrate the existence of an intermediate super-exponential localization regime for eigenstates of the Aubry-Andr\\'e chain. In this regime, the eigenstates localize factorially similarly to the eigenstates of the Wannier-Stark ladder. The super-exponential decay emerges on intermediate length scales for large values of the $\\textit{winding length}$ -- the quasi-period of the Aubry-Andr\\'e potential. This intermediate localization is present both in the metallic and insulating phases of the system. In the insulating phase, the super-exponential localization is periodically interrupted by weaker decaying tails to form the conventional asymptotic exponential decay predicted for the Aubry-Andr\\'e model. In the metallic phase, the super-exponential localization happens for states with energies away from the center of the spectrum and is followed by a super-exponential growth into the next peak of the extended eigenstate. By adjusting the parameters it is possible to arbitrarily extend the validity of the super-exponential localization. A similar intermediate super-exponential localization regime is demonstrated in quasiperiodic discrete-time unitary maps.
  • Correlated metallic two-particle bound states in Wannier-Stark flatbands
    Arindam Mallick, Alexei Andreanov, Sergej Flach
    Physical Review B, 2022
    Tight-binding single-particle models on simple Bravais lattices in space dimension d ≥ 2, when exposed to commensurate DC fields, result in the complete absence of transport due to the formation of Wannier–Stark flatbands [Phys. Rev. Res. 3 , 013174 (2021)]. The single-particle states localize in a factorial manner, i.e., faster than exponential. Here, we introduce interaction among two such particles that partially lifts the localization and results in metallic two-particle bound states that propagate in the directions perpendicular to the DC field. We demonstrate this effect using a square lattice with Hubbard interaction. We apply perturbation theory in the regime of interaction strength ( U ) (cid:28) hopping strength ( t ) (cid:28) field strength ( F ), and obtain estimates for the group velocity of the bound states in the direction perpendicular to the field. The two-particle group velocity scales as U ( t/ F ) ν . We calculate the dependence of the exponent ν on the DC field direction and on the dominant two-particle configurations related to the choices of unperturbed flatbands. Numerical simulations confirm our predictions from the perturbative analysis.
  • Logarithmic expansion of many-body wave packets in random potentials
    Arindam Mallick, Sergej Flach
    Physical Review A, 2022
    Anderson localization confines the wave function of a quantum particle in a one-dimensional random potential to a volume of the order of the localization length ξ. Nonlinear add-ons to the wave dynamics mimic many-body interactions on a mean field level, and result in escape from the Anderson cage and in unlimited subdiffusion of the interacting cloud. We address quantum corrections to that subdiffusion by (i) using the ultrafast unitary Floquet dynamics of discretetime quantum walks, (ii) an interaction strength ramping to speed up the subdiffusion, and (iii) an action discretization of the nonlinear terms. We observe the saturation of the cloud expansion of N particles to a volume ∼ Nξ. We predict and observe a universal intermediate logarithmic expansion regime which connects the mean-field diffusion with the final saturation regime and is entirely controlled by particle number N . The temporal window of that regime grows exponentially with the localization length ξ.
  • Anti- PT flatbands
    Arindam Mallick, Nana Chang, Alexei Andreanov, Sergej Flach
    Physical Review A, 2022
    We consider tight-binding single particle lattice Hamiltonians which are invariant under an antiunitary antisymmetry: the anti-$\\mathcal{PT}$ symmetry. The Hermitian Hamiltonians are defined on $d$-dimensional non-Bravais lattices. For an odd number of sublattices, the anti-$\\mathcal{PT}$ symmetry protects a flatband at energy $E = 0$. We derive the anti-$\\mathcal{PT}$ constraints on the Hamiltonian and use them to generate examples of generalized kagome networks in two and three lattice dimensions. Furthermore, we show that the anti-$\\mathcal{PT}$ symmetry persists in the presence of uniform DC fields and ensures the presence of flatbands in the corresponding irreducible Wannier-Stark band structure. We provide examples of the Wannier-Stark band structure of generalized kagome networks in the presence of DC fields, and their implementation using Floquet engineering.
  • Wannier-Stark flatbands in Bravais lattices
    Arindam Mallick, Nana Chang, Wulayimu Maimaiti, Sergej Flach, Alexei Andreanov
    Physical Review Research, 2021
    We systematically construct flatbands for tight-binding models on simple Bravais lattices in space dimension $d \\geq 2$ in the presence of a static uniform DC field. Commensurate DC field directions yield irreducible Wannier-Stark bands in perpendicular dimension $d-1$ with $d$-dimensional eigenfunctions. The irreducible bands turn into dispersionless flatbands in the absence of nearest neighbor hoppings between lattice sites in any direction perpendicular to the DC field one. The number of commensurate directions which yield flatbands is of measure one. We arrive at a complete halt of transport, with the DC field prohibiting transport along the field direction, and the flatbands prohibiting transport in all perpendicular directions as well. The anisotropic flatband eigenstates are localizing at least factorially (faster than exponential).
  • Topological delocalization in the completely disordered two-dimensional quantum walk
    János K. Asbóth, Arindam Mallick
    Physical Review B, 2020
    We investigate numerically and theoretically the effect of spatial disorder on two-dimensional split-step discrete-time quantum walks with two internal "coin" states. Spatial disorder can lead to Anderson localization, inhibiting the spread of quantum walks, putting them at a disadvantage against their diffusively spreading classical counterparts. We find that spatial disorder of the most general type, i.e., position-dependent Haar random coin operators, does not lead to Anderson localization, but to a diffusive spread instead. This is a delocalization, which happens because disorder places the quantum walk to a critical point between different anomalous Floquet-Anderson insulating topological phases. We base this explanation on the relationship of this general quantum walk to a simpler case more studied in the literature, and for which disorder-induced delocalization of a topological origin has been observed. We review topological delocalization for the simpler quantum walk, using time-evolution of the wavefunctions and level spacing statistics. We apply scattering theory to two-dimensional quantum walks, and thus calculate the topological invariants of disordered quantum walks, substantiating the topological interpretation of the delocalization, and finding signatures of the delocalization in the finite-size scaling of transmission. We show criticality of the Haar random quantum walk by calculating the critical exponent $\\eta$ in three different ways, and find $\\eta$ $\\approx$ 0.52 as in the integer quantum Hall effect. Our results showcase how theoretical ideas and numerical tools from solid-state physics can help us understand spatially random quantum walks.
  • Quench dynamics in disordered two-dimensional Gross-Pitaevskii lattices
    Arindam Mallick, Thudiyangal Mithun, Sergej Flach
    Physical Review A, 2020
    We numerically investigate the quench expansion dynamics of an initially confined state in a two-dimensional Gross-Pitaevskii lattice in the presence of external disorder. The expansion dynamics is conveniently described in the control parameter space of the energy and norm densities. The expansion can slow down substantially if the expected final state is a non-ergodic non-Gibbs one, regardless of the disorder strength. Likewise stronger disorder delays expansion. We compare our results with recent studies for quantum many body quench experiments.
  • Spectral magnetization ratchets with discrete-time quantum walks
    A. Mallick, M. V. Fistul, P. Kaczynska, S. Flach
    Physical Review A, 2020
  • Non-Markovianity of qubit evolution under the action of spin environment
    Sagnik Chakraborty, Arindam Mallick, Dipanjan Mandal, Sandeep K. Goyal, Sibasish Ghosh
    Scientific Reports, 2019
  • Author Correction: Non-Markovianity of qubit evolution under the action of spin environment (Scientific Reports, (2019), 9, 1, (2987), 10.1038/s41598-019-39140-2)
    Sagnik Chakraborty, Arindam Mallick, Dipanjan Mandal, Sandeep K. Goyal, Sibasish Ghosh
    Scientific Reports, 2019
  • Simulating Dirac Hamiltonian in curved space-time by split-step quantum walk
    Arindam Mallick, Sanjoy Mandal, Anirban Karan, C M Chandrashekar
    Journal of Physics Communications, 2019
  • Witnessing arbitrary bipartite entanglement in a measurement-device-independent way
    Arindam Mallick, Sibasish Ghosh
    Physical Review A, 2017
  • Quantum Ratchet in Disordered Quantum Walk
    Sagnik Chakraborty, Arpan Das, Arindam Mallick, C. M. Chandrashekar
    Annalen Der Physik, 2017
  • Neutrino oscillations in discrete-time quantum walk framework
    Arindam Mallick, Sanjoy Mandal, C. M. Chandrashekar
    European Physical Journal C, 2017
  • Dirac cellular automaton from split-step quantum walk
    Arindam Mallick, C. M. Chandrashekar
    Scientific Reports, 2016

RECENT SCHOLAR PUBLICATIONS

  • String-breaking dynamics in an Ising chain with local vibrations
    A Mallick, M Lewenstein, J Zakrzewski, M Płodzień
    Physical Review B 112 (2), 024311 , 2025
    2025
    Citations: 9
  • Flat bands in tight-binding lattices with anisotropic potentials
    A Mallick, A Andreanov
    Physical Review B 111 (1), 014201 , 2025
    2025
    Citations: 2
  • Anomalous localization in spin-chain with tilted interactions
    A Mallick, J Zakrzewski
    Physical Review B 109 (21), 214206 , 2024
    2024
    Citations: 2
  • Intermediate superexponential localization with Aubry-André chains
    A Mallick, A Andreanov, S Flach
    Physical Review B 108 (6), 064204 , 2023
    2023
    Citations: 3
  • Correlated metallic two-particle bound states in Wannier-Stark flatbands
    A Mallick, A Andreanov, S Flach
    Physical Review B 106 (12), 125128 , 2022
    2022
    Citations: 3
  • Anti- flatbands
    A Mallick, N Chang, A Andreanov, S Flach
    Physical Review A 105 (2), L021305 , 2022
    2022
    Citations: 14
  • Logarithmic expansion of many-body wave packets in random potentials
    A Mallick, S Flach
    Physical Review A 105 (2), L020202 , 2022
    2022
    Citations: 7
  • Wannier-Stark flatbands in Bravais lattices
    A Mallick, N Chang, W Maimaiti, S Flach, A Andreanov
    Phys. Rev. Research 3, 013174 , 2021
    2021
    Citations: 19
  • Topological delocalization in two-dimensional quantum walks
    JK Asboth, A Mallick
    Bulletin of the American Physical Society , 2021
    2021
  • Topological delocalization in the completely disordered two-dimensional quantum walk
    JK Asboth, A Mallick
    Physical Review B 102, 224202 , 2020
    2020
    Citations: 8
  • Quench dynamics in disordered two-dimensional Gross-Pitaevskii Lattices
    A Mallick, T Mithun, S Flach
    Physical Review A 102 (3), 033301 , 2020
    2020
    Citations: 4
  • Spectral magnetization ratchets with discrete-time quantum walks
    A Mallick, MV Fistul, P Kaczynska, S Flach
    Physical Review A 101 (3), 032119 , 2020
    2020
    Citations: 2
  • Non-Markovianity of qubit evolution under the action of spin environment
    S Chakraborty, A Mallick, D Mandal, SK Goyal, S Ghosh
    Scientific Reports 9 (1), 2987 , 2019
    2019
    Citations: 7
  • Quantum Simulation of Neutrino Oscillation and Dirac Particle Dynamics in Curved Space-time
    A Mallick
    The Institute of Mathematical Sciences, HBNI , 2019
    2019
    Citations: 2
  • Simulating Dirac Hamiltonian in curved space-time by split-step quantum walk
    A Mallick, S Mandal, A Karan, CM Chandrashekar
    Journal of Physics Communications 3 (1), 015012 , 2019
    2019
    Citations: 37
  • Witnessing arbitrary bipartite entanglement in a measurement-device-independent way
    A Mallick, S Ghosh
    Physical Review A 96 (5), 052323 , 2017
    2017
    Citations: 12
  • Quantum ratchet in disordered quantum walk
    S Chakraborty, A Das, A Mallick, CM Chandrashekar
    Annalen der Physik 529 (8), 1600346 , 2017
    2017
    Citations: 12
  • Neutrino oscillations in discrete-time quantum walk framework
    A Mallick, S Mandal, CM Chandrashekar
    The European Physical Journal C 77 (2), 85 , 2017
    2017
    Citations: 50
  • Dirac cellular automaton from split-step quantum walk
    A Mallick, CM Chandrashekar
    Scientific reports 6 (1), 25779 , 2016
    2016
    Citations: 59

MOST CITED SCHOLAR PUBLICATIONS

  • Dirac cellular automaton from split-step quantum walk
    A Mallick, CM Chandrashekar
    Scientific reports 6 (1), 25779 , 2016
    2016
    Citations: 59
  • Neutrino oscillations in discrete-time quantum walk framework
    A Mallick, S Mandal, CM Chandrashekar
    The European Physical Journal C 77 (2), 85 , 2017
    2017
    Citations: 50
  • Simulating Dirac Hamiltonian in curved space-time by split-step quantum walk
    A Mallick, S Mandal, A Karan, CM Chandrashekar
    Journal of Physics Communications 3 (1), 015012 , 2019
    2019
    Citations: 37
  • Wannier-Stark flatbands in Bravais lattices
    A Mallick, N Chang, W Maimaiti, S Flach, A Andreanov
    Phys. Rev. Research 3, 013174 , 2021
    2021
    Citations: 19
  • Anti- flatbands
    A Mallick, N Chang, A Andreanov, S Flach
    Physical Review A 105 (2), L021305 , 2022
    2022
    Citations: 14
  • Witnessing arbitrary bipartite entanglement in a measurement-device-independent way
    A Mallick, S Ghosh
    Physical Review A 96 (5), 052323 , 2017
    2017
    Citations: 12
  • Quantum ratchet in disordered quantum walk
    S Chakraborty, A Das, A Mallick, CM Chandrashekar
    Annalen der Physik 529 (8), 1600346 , 2017
    2017
    Citations: 12
  • String-breaking dynamics in an Ising chain with local vibrations
    A Mallick, M Lewenstein, J Zakrzewski, M Płodzień
    Physical Review B 112 (2), 024311 , 2025
    2025
    Citations: 9
  • Topological delocalization in the completely disordered two-dimensional quantum walk
    JK Asboth, A Mallick
    Physical Review B 102, 224202 , 2020
    2020
    Citations: 8
  • Logarithmic expansion of many-body wave packets in random potentials
    A Mallick, S Flach
    Physical Review A 105 (2), L020202 , 2022
    2022
    Citations: 7
  • Non-Markovianity of qubit evolution under the action of spin environment
    S Chakraborty, A Mallick, D Mandal, SK Goyal, S Ghosh
    Scientific Reports 9 (1), 2987 , 2019
    2019
    Citations: 7
  • Quench dynamics in disordered two-dimensional Gross-Pitaevskii Lattices
    A Mallick, T Mithun, S Flach
    Physical Review A 102 (3), 033301 , 2020
    2020
    Citations: 4
  • Intermediate superexponential localization with Aubry-André chains
    A Mallick, A Andreanov, S Flach
    Physical Review B 108 (6), 064204 , 2023
    2023
    Citations: 3
  • Correlated metallic two-particle bound states in Wannier-Stark flatbands
    A Mallick, A Andreanov, S Flach
    Physical Review B 106 (12), 125128 , 2022
    2022
    Citations: 3
  • Flat bands in tight-binding lattices with anisotropic potentials
    A Mallick, A Andreanov
    Physical Review B 111 (1), 014201 , 2025
    2025
    Citations: 2
  • Anomalous localization in spin-chain with tilted interactions
    A Mallick, J Zakrzewski
    Physical Review B 109 (21), 214206 , 2024
    2024
    Citations: 2
  • Spectral magnetization ratchets with discrete-time quantum walks
    A Mallick, MV Fistul, P Kaczynska, S Flach
    Physical Review A 101 (3), 032119 , 2020
    2020
    Citations: 2
  • Quantum Simulation of Neutrino Oscillation and Dirac Particle Dynamics in Curved Space-time
    A Mallick
    The Institute of Mathematical Sciences, HBNI , 2019
    2019
    Citations: 2
  • Topological delocalization in two-dimensional quantum walks
    JK Asboth, A Mallick
    Bulletin of the American Physical Society , 2021
    2021