Continuous matrix product states solution for the mixing/demixing transition in one-dimensional quantum fields

Abstract

We solve the mixing-demixing transition in repulsive one-dimensional bose-bose mixtures. This is done numerically by means of the continuous matrix product states variational ansatz. We show that the effective low-energy bosonization theory is able to detect the transition whenever the Luttinger parameters are exactly computed. We further characterize the transition by calculating the ground-state energy density, the field-field fluctuations and the density correlations.

5 pages, 3 figures

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Cited by in corpus (8)

• Continuous Matrix Product States for Quantum Fields: an Energy Minimization Algorithm
• Continuous matrix product states for non-relativistic quantum fields: a lattice algorithm for inhomogeneous systems
• Variational optimization of continuous matrix product states
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• Multiple phase separation in one-dimensional mixtures of mass- and population-imbalanced attractive Fermi gases
• Entanglement renormalization for gauge invariant quantum fields
• Continuous matrix-product states in inhomogeneous systems with long-range interactions
• Entanglement Renormalization of the class of Continuous Matrix Product States