Trapped Bose-Bose mixtures at finite temperature: A quantum Monte Carlo approach

Dželalija, Krešimir; Cikojević, Viktor; Boronat, J.; Markić, Leandra Vranješ

doi:10.1103/physreva.102.063304

Cited by 4 publications

(2 citation statements)

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“…full phase separation between the two components occurs, if the coupling exceeds this critical value. This scenario has been also confirmed in a series of experiments [8][9][10][11] and quantum Monte Carlo simulations for trapped mixtures, both at zero [12] and finite temperature [13]. At finite temperatures, perturbative approaches, such as Hartree-Fock (HF) and Popov theories, predict an intriguing scenario holding for mixtures below the Bose-Einstein condensation (BEC) temperature: The paramagnetic state at low temperature can turn ferromagnetic at higher temperature if the interspecies coupling is close enough to the T = 0 threshold [14][15][16].…”

Section: Introductionsupporting

confidence: 57%

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Phase separation in binary Bose mixtures at finite temperature

Spada,

Parisi,

Pascual

et al. 2023

SciPost Phys.

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We investigate the magnetic behavior of finite-temperature repulsive two-component Bose mixtures by means of exact path-integral Monte-Carlo simulations. Novel algorithms are implemented for the free energy and the chemical potential of the two components. Results on the magnetic susceptibility suggest that the conditions for phase separation are not modified from the zero temperature case. This contradicts previous predictions based on approximate theories. We also determine the temperature dependence of the chemical potential and the contact parameters for experimentally relevant balanced mixtures.

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Section: Introductionsupporting

confidence: 57%

“…an 1/3 32π 3 t , (A. 13) where K = 0.673(1) is a numerical constant. 1 The data for µ obtained from the universal are represented by the blue dots in the left panel of Fig.…”

Section: A2 Benchmarksmentioning

confidence: 99%

Phase separation in binary Bose mixtures at finite temperature

Spada,

Parisi,

Pascual

et al. 2023

SciPost Phys.

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Coupled-cluster theory for trapped bosonic mixtures

Bhowmik,

Alon

2024

The Journal of Chemical Physics

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We develop a coupled-cluster theory for bosonic mixtures of binary species in external traps, providing a promising theoretical approach to demonstrate highly accurately the many-body physics of mixtures of Bose–Einstein condensates. The coupled-cluster wavefunction for the binary species is obtained when an exponential cluster operator eT, where T = T(1) + T(2) + T(12) and T(1) accounts for excitations in species-1, T(2) for excitations in species-2, and T(12) for combined excitations in both species, acts on the ground state configuration prepared by accumulating all bosons in a single orbital for each species. We have explicitly derived the working equations for bosonic mixtures by truncating the cluster operator up to the single and double excitations and using arbitrary sets of orthonormal orbitals for each of the species. Furthermore, the comparatively simplified version of the working equations are formulated using the Fock-like operators. Finally, using an exactly solvable many-body model for bosonic mixtures that exists in the literature allows us to implement and test the performance and accuracy of the coupled-cluster theory for situations with balanced as well as imbalanced boson numbers and for weak to moderately strong intra- and interspecies interaction strengths. The comparison between our computed results using coupled-cluster theory with the respective analytical exact results displays remarkable agreement exhibiting excellent success of the coupled-cluster theory for bosonic mixtures. All in all, the correlation exhaustive coupled-cluster theory shows encouraging results and could be a promising approach in paving the way for high-accuracy modeling of various bosonic mixture systems.

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