Quantum Echo in Two-Component Bose-Einstein Condensates

Abstract

The development of ultracold atom technology has enabled the precise investigations on quantum dynamics of quantum gases. Recently, inspired by experimental advancement, the $SU(1,1)$ echo, akin to the well-known $SU(2)$ spin echo, has been proposed for single-component Bose-Einstein condensate (BEC). In this paper, we investigate the possibility of quantum echo in the more intricate two-component BEC by fully exploiting its underlying symmetry, which is the Lie group $Sp(4,R)$. We demonstrate that quantum echo can occur for the two-component BEC by applying a driving protocol consisting of two steps in each period. The first step can be any Bogoliubov Hamiltonian, while the second step is a Hamiltonian with interactions turned off, which plays a similar role as the $\pi$-pulse in spin echo. We confirm our theoretical results with numerical calculations for different examples of two-component BEC. We further consider the effect of interactions between the excited boson modes on the quantum echo process and discuss the possible experiment implementation of this quantum echo.

11 pages,6 figures

References in corpus (47)

• Many-Body Physics with Ultracold Gases
• Feshbach Resonances in Ultracold Gases
• Gaussian Quantum Information
• Peres-Horodecki separability criterion for continuous variable systems
• Spinor Bose Condensates in Optical Traps
• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• The dynamics of component separation in a binary mixture of Bose-Einstein condensates
• Spinor Bose-Einstein condensates
• Spin-orbit coupling in quantum gases
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Phase separation of Bose-Einstein condensates
• Measurements of Relative Phase in Binary Mixtures of Bose-Einstein Condensates
• Quantum Superposition States of Bose-Einstein Condensates
• Double species condensate with tunable interspecies interactions
• A two atomic species superfluid
• The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
• Binary Bose-Einstein Condensate Mixtures in Weakly and Strongly Segregated Phases
• Many particle entanglement in two-component Bose-Einstein Condensates
• In situ observation of strongly interacting ferromagnetic domains in a shaken optical lattice
• Dual-Species Bose-Einstein Condensate of ${}^{87}$Rb and ${}^{133}$Cs
• Structure of binary Bose-Einstein condensates
• Non-Equilibrium Dynamics and Superfluid Ring Excitations in Binary Bose-Einstein Condensates
• Controlling phase separation of binary Bose-Einstein condensates via mixed-spin-channel Feshbach resonance
• Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition
• Quantum Simulation of Coherent Hawking-Unruh Radiation
• Dipolar Quantum Mixtures of Erbium and Dysprosium Atoms
• Quantum dynamics with spatiotemporal control of interactions in a stable Bose-Einstein condensate
• Quantum degenerate mixtures of strontium and rubidium atoms
• Collective emission of matter-wave jets from driven Bose-Einstein condensates
• Production of a dual-species Bose-Einstein condensate of Rb and Cs atoms
• Tunable dual-species Bose-Einstein condensates of ${}^{39}$K and ${}^{87}$Rb
• A double species ${}^{23}$Na and ${}^{87}$Rb Bose-Einstein condensate with tunable miscibility via an interspecies Feshbach resonance
• Pattern formation in a driven Bose-Einstein Condensate
• Density waves and jet emission asymmetry in Bose Fireworks
• SU(1,1) echoes for breathers in quantum gases
• Two-species boson mixture on a ring: A group theoretic approach to the quantum dynamics of low-energy excitations
• Coherent inflationary dynamics for Bose-Einstein condensates crossing a quantum critical point
• Many-Body Echo
• Quantum dynamics of bosons in a two-ring ladder: dynamical algebra, vortex-like excitations and currents
• Four-mode squeezed states: two-field quantum systems and the symplectic group $\mathrm{Sp}(4,\mathbb{R})$
• Complex correlations in high harmonic generation of matter-wave jets revealed by pattern recognition
• Geometrizing quantum dynamics of a Bose-Einstein condensate
• Control of anomalous diffusion of a Bose polaron
• Jet Sub-structure in Fireworks Emission from Non-uniform and Rotating Bose-Einstein Condensates
• $Sp(4;\mathbb{R})$ Squeezing for Bloch Four-Hyperboloid via The Non-Compact Hopf Map
• Quantum Dynamics of Cold Atomic Gas with $SU(1,1)$ Symmetry
• The Quantum Dynamics of Two-component Bose-Einstein Condensate: an $Sp(4,R)$ Symmetry Approach

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