Quantum dynamics of few dipolar bosons in a double-well potential

Roy, Rhombik; Chakrabarti, Bikas K.; Trombettoni, Andrea

doi:10.1140/epjd/s10053-022-00345-2

Cited by 10 publications

(3 citation statements)

References 99 publications

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“…The efficiency of MCTDHB is to make the sampled Hilbert space dynamically follow the time evolution of the many-body system. MCTDHB has been widely used in different theoretical calculations [36,[51][52][53] and results are very close to experimental predictions [54,55]. For M → ∞ limit, as the set of permanents | n; t span the complete Hilbert space, the expansion is exact.…”

Section: Setup and Methodologymentioning

confidence: 65%

Dynamics of order-disorder and complexity for interacting bosons in optical lattice

Roy¹,

Chakrabarti²,

Chavda³

et al. 2022

Preprint

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The present work reports on the dynamical measures of order, disorder and complexity for the interacting bosons in optical lattice. We report results both for the relaxed state as well as quench dynamics. Our key observations are: (1) Lattice depth can be taken as order-disorder parameter.(2) The superfluid to Mott insulator transition can be treated as 'order-disorder' transition. Our main motivation is to find how the system organize by itself during quench and how it optimizes the complexity. We find dynamical measures of order and disorder are more sensitive tool than entropy measures. We specifically calculate the time scale of entry and exit of different phases during time evolution. Initially the system exhibits collapse revival trend, however gradually looses its ability to turn back to superfluid phase and finally Settle to Mott insulator phase.

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Section: Setup and Methodologymentioning

confidence: 65%

Dynamics of order-disorder and complexity for interacting bosons in optical lattice

Roy¹,

Chakrabarti²,

Chavda³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…It is to be noted that the use of optimized time-dependent orbitals leads to very fast convergence in the simulation compared to the manybody Schrödinger equation with time-independent orbitals. It has already been established as a very efficient manybody method, and numerical convergence to the exact timedependent solution of the many-body Schrödinger equation in different trap geometries is tested [20][21][22][23][24][25]. The MCTDHB method and the algorithm have been cast into a software package [26,27].…”

Section: Model Hamiltonian and Set Upmentioning

confidence: 99%

Quench dynamics of a Tonks-Girardeau gas in one dimensional anharmonic trap

Kumar Debnath,

Chakrabarti,

Leslie Lekala

2024

Laser Phys. Lett.

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The quench dynamics of strongly interacting bosons on quartic and sextic traps are studied by exactly solving the time-dependent many-boson Schrödinger equation numerically. The dynamics are addressed by the key measures of one-body density in conjugate space and information entropy. For both cases, rich many-body dynamics are exhibited and the loss of the Bose–Fermi oscillation in the Tonks–Girardeau limit is also attributed.

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“…We also emphasise that MCTDHB is more accurate than exact diagonalization which uses the finite basis and are not optimised. Whereas in MCTDHB, as we use a time adaptive many-body basis set, it can dynamically follow the building correlation due to inter-particle interaction [24,[36][37][38] and it has been widely used in different theoretical calculations [25,[39][40][41][42][43]. Thus, to obtain the many-body wave function |ψ(t)〉, we evaluate the time dependent coefficients {C n(t )} and orbitals {φ i (x, t)} M i=1 .…”

Section: The Many-body Wave Functionmentioning

confidence: 99%

Out of equilibrium many-body expansion dynamics of strongly interacting bosons

Roy,

Chakrabarti,

Gammal

2023

SciPost Phys. Core

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We solve the Schrödinger equation from first principles to investigate the many-body effects in the expansion dynamics of one-dimensional repulsively interacting bosons released from a harmonic trap. We utilize the multiconfigurational time-dependent Hartree method for bosons (MCTDHB) to solve the many-body Schrödinger equation at high level of accuracy. The MCTDHB basis sets are explicitly time-dependent and optimised by variational principle. We probe the expansion dynamics by three key measures; time evolution of one-, two- and three-body densities. We observe when the mean-field theory results to unimodal expansion, the many-body calculation exhibits trimodal expansion dynamics. The many-body features how the initially fragmented bosons independently spreads out with time whereas the mean-field pictures the expansion of the whole cloud. We also present the three different time scale of dynamics of the inner core, outer core and the cloud as a whole. We analyze the key role played by the dynamical fragmentation during expansion. A Strong evidence of the many-body effects is presented in the dynamics of two- and three-body densities which exhibit correlation hole and pronounced delocalization effect.

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Quantum dynamics of few dipolar bosons in a double-well potential

Cited by 10 publications

References 99 publications

Dynamics of order-disorder and complexity for interacting bosons in optical lattice

Dynamics of order-disorder and complexity for interacting bosons in optical lattice

Quench dynamics of a Tonks-Girardeau gas in one dimensional anharmonic trap

Out of equilibrium many-body expansion dynamics of strongly interacting bosons

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