Zero-energy modes of two-component Bose-Bose droplets
arXiv:2011.05135 · doi:10.1088/1367-2630/abe482
Abstract
Bose-Bose droplets are self-bound objects emerging from a mixture of two interacting Bose-Einstein condensates when their interactions are appropriately tuned. During droplet formation three continuous symmetries of the system's Hamiltonian are broken: translational symmetry and two U1 symmetries, allowing for arbitrary choice of phases of the mean-field wavefunctions describing the two components. Breaking of these symmetries must be accompanied by appearance of zero-energy excitations in the energy spectrum of the system recovering the broken symmetries. Normal modes corresponding to these excitations are the zero-energy modes. Here we find analytic expressions for these modes and introduce Hamitonians generating their time evolution -- dynamics of the droplet's centers of mass as well as dynamics of the phases of the two droplet's wavefunctions. When internal types of excitations (quasiparticles) are neglected then the very complex system of a quantum droplet is described using only few "global" degrees of freedom - the position of the center of mass of the droplet and two phases of two wave-functions, all these being quantum operators. This gives the possibility of describing in a relatively easy way processes of interaction of these quantum droplets, such as collisions.
arXiv comment17 pages, no figures, Category: cond-mat.quant-gas
References in corpus (41)
- Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture
- Quantum liquid droplets in a mixture of Bose-Einstein condensates
- Observation of quantum droplets in a strongly dipolar Bose gas
- Observing the Rosensweig instability of a quantum ferrofluid
- Self-bound quantum droplets in atomic mixtures
- Self-bound droplets of a dilute magnetic quantum liquid
- Roton-maxon spectrum and stability of trapped dipolar condensates
- Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macro-droplet in a dipolar quantum fluid
- Observation of a dipolar quantum gas with metastable supersolid properties
- Ultradilute low-dimensional liquids
- Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
- Transient supersolid properties in an array of dipolar quantum droplets
- Long-lived and transient supersolid behaviors in dipolar quantum gases
- Dynamics of one-dimensional quantum droplets
- Quantum Fluctuations in Dipolar Bose Gases
- The low-energy Goldstone mode in a trapped dipolar supersolid
- Collisions of self-bound quantum droplets
- Beyond Mean-Field Low-Lying Excitations of Dipolar Bose Gases
- Three-dimensional droplets of swirling superfluids
- Mean-field expansion in Bose-Einstein condensates with finite-range interactions
- Quantum fluctuations in quasi-one-dimensional dipolar Bose-Einstein condensates
- Quantum Bose-Bose droplets at a dimensional crossover
- Dimensional crossover for the beyond-mean-field correction in Bose gases
- Metastability of quantum droplet clusters
- A Potential of Interaction between Two- and Three-Dimensional Solitons
- Liquid quantum droplets of ultracold magnetic atoms
- Consistent theory of self-bound quantum droplets with bosonic pairing
- Novel Role of Superfluidity in Low-Energy Nuclear Reactions
- Quantum Dark Soliton: Non-Perturbative Diffusion of Phase and Position
- Anderson localization of solitons
- Quantum Bose-Fermi droplets
- Microscopic pairing theory of a binary Bose mixture with interspecies attractions: bosonic BEC-BCS crossover and ultradilute low-dimensional quantum droplets
- Self-bound Bose-Fermi liquids in lower dimensions
- Strongly correlated quantum droplets in quasi-1D dipolar Bose gas
- N-conserving Bogoliubov vacuum of a two component Bose-Einstein condensate: Density fluctuations close to a phase separation condition
- Dynamics of Fragmented Condensates and Macroscopic Entanglement
- Revisiting a stability problem of two-component droplets
- Dark soliton in a disorder potential
- Breakdown of Anderson localization of interacting quantum bright solitons in a disorder potential
- Beyond-mean-field corrections for dipolar bosons in an optical lattice
- Modelling quantum aspects of disruption of a white dwarf star by a black hole
Cited by in corpus (8)
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Vortex-ring quantum droplets in a radially-periodic potential
- Manifestation of relative phase in dynamics of two interacting Bose-Bose droplets
- Two-dimensional quantum droplets in binary quadrupolar condensates
- Self-consistent Description of Bose-Bose Droplets: Modified Gapless Hartree-Fock-Bogoliubov Method
- Simultaneous symmetry breaking in spontaneous Floquet states: temporal Floquet-Nambu-Goldstone modes, Floquet thermodynamics, and the time operator
- Supersolidity of dipolar Bose-Einstein condensates induced by coupling to fermions
- Self-evaporation dynamics of quantum droplets in a 41K-87Rb mixture