optical bistability in a quantum low photon density regime
play

Optical bistability in a quantum low photon-density regime Synge - PowerPoint PPT Presentation

2019/07/29 @ CAQMP2019 Optical bistability in a quantum low photon-density regime Synge Todo Department of Physics / ISSP, UTokyo Collaborators: Tatsuhiko Shirai (UTokyo Waseda), Hans de Raedt (Groningen), Seiji Miyashita


  1. 2019/07/29 @ CAQMP2019 Optical bistability in a quantum low photon-density regime 藤堂眞治 Synge Todo Department of Physics / ISSP, UTokyo Collaborators: Tatsuhiko Shirai (UTokyo → Waseda), Hans de Raedt (Groningen), Seiji Miyashita (UTokyo) [1] T. Shirai, ST, H. de Raedt, S. Miyashita, Phys. Rev. A 98, 043802 (2018). [2] T. Shirai, ST, S. Miyashita, to be submitted

  2. Optical bistability under a driving field ����������� �������� ������������ ����������� • Dynamical phase transition in dissipative and nonequilibrium system • Macroscopic model: Maxwell-Bloch equation • Microscopic description of optical bistability? Arecchi, Bonifacio (1965), Lugiato (1984), • Analogy and relation to (equilibrium) first-order Drummond (1981), Rempe et al (1991), phase transition? Gripp et al (1996)

  3. <latexit sha1_base64="7vcCLsBuMaSjHlP/9vjweMF9NWE=">ACEnicbZC7SgNBFIZnvcZ4W7W0GQyCNmFXBNMIARs7I5gLZJcwO5lNhsxlmZkVwpJnsPFVbCwUsbWy82cbLaIiT8M/HznHM6cP0oY1cbzfpyV1bX1jc3SVnl7Z3dv3z04bGmZKkyaWDKpOhHShFBmoYaRjqJIohHjLSj0c203n4kSlMpHsw4ISFHA0FjipGxqOeB5KTAeplgeIQTeA1nAfJMCd3OXErXtXLBZeNX5gKNToud9BX+KUE2EwQ1p3fS8xYaUoZiRSTlINUkQHqEB6VorECc6zPKTJvDUkj6MpbJPGJjT+YkMca3HPLKdHJmhXqxN4X+1bmriWphRkaSGCDxbFKcMGgmn+cA+VQbNrYGYUXtXyEeIoWwsSmWbQj+4snLpnVR9b2qf39ZqdeKOErgGJyAM+CDK1AHt6ABmgCDJ/AC3sC78+y8Oh/O56x1xSlmjsAfOV+/0yOc4Q=</latexit> <latexit sha1_base64="7vcCLsBuMaSjHlP/9vjweMF9NWE=">ACEnicbZC7SgNBFIZnvcZ4W7W0GQyCNmFXBNMIARs7I5gLZJcwO5lNhsxlmZkVwpJnsPFVbCwUsbWy82cbLaIiT8M/HznHM6cP0oY1cbzfpyV1bX1jc3SVnl7Z3dv3z04bGmZKkyaWDKpOhHShFBmoYaRjqJIohHjLSj0c203n4kSlMpHsw4ISFHA0FjipGxqOeB5KTAeplgeIQTeA1nAfJMCd3OXErXtXLBZeNX5gKNToud9BX+KUE2EwQ1p3fS8xYaUoZiRSTlINUkQHqEB6VorECc6zPKTJvDUkj6MpbJPGJjT+YkMca3HPLKdHJmhXqxN4X+1bmriWphRkaSGCDxbFKcMGgmn+cA+VQbNrYGYUXtXyEeIoWwsSmWbQj+4snLpnVR9b2qf39ZqdeKOErgGJyAM+CDK1AHt6ABmgCDJ/AC3sC78+y8Oh/O56x1xSlmjsAfOV+/0yOc4Q=</latexit> <latexit sha1_base64="7vcCLsBuMaSjHlP/9vjweMF9NWE=">ACEnicbZC7SgNBFIZnvcZ4W7W0GQyCNmFXBNMIARs7I5gLZJcwO5lNhsxlmZkVwpJnsPFVbCwUsbWy82cbLaIiT8M/HznHM6cP0oY1cbzfpyV1bX1jc3SVnl7Z3dv3z04bGmZKkyaWDKpOhHShFBmoYaRjqJIohHjLSj0c203n4kSlMpHsw4ISFHA0FjipGxqOeB5KTAeplgeIQTeA1nAfJMCd3OXErXtXLBZeNX5gKNToud9BX+KUE2EwQ1p3fS8xYaUoZiRSTlINUkQHqEB6VorECc6zPKTJvDUkj6MpbJPGJjT+YkMca3HPLKdHJmhXqxN4X+1bmriWphRkaSGCDxbFKcMGgmn+cA+VQbNrYGYUXtXyEeIoWwsSmWbQj+4snLpnVR9b2qf39ZqdeKOErgGJyAM+CDK1AHt6ABmgCDJ/AC3sC78+y8Oh/O56x1xSlmjsAfOV+/0yOc4Q=</latexit> <latexit sha1_base64="7vcCLsBuMaSjHlP/9vjweMF9NWE=">ACEnicbZC7SgNBFIZnvcZ4W7W0GQyCNmFXBNMIARs7I5gLZJcwO5lNhsxlmZkVwpJnsPFVbCwUsbWy82cbLaIiT8M/HznHM6cP0oY1cbzfpyV1bX1jc3SVnl7Z3dv3z04bGmZKkyaWDKpOhHShFBmoYaRjqJIohHjLSj0c203n4kSlMpHsw4ISFHA0FjipGxqOeB5KTAeplgeIQTeA1nAfJMCd3OXErXtXLBZeNX5gKNToud9BX+KUE2EwQ1p3fS8xYaUoZiRSTlINUkQHqEB6VorECc6zPKTJvDUkj6MpbJPGJjT+YkMca3HPLKdHJmhXqxN4X+1bmriWphRkaSGCDxbFKcMGgmn+cA+VQbNrYGYUXtXyEeIoWwsSmWbQj+4snLpnVR9b2qf39ZqdeKOErgGJyAM+CDK1AHt6ABmgCDJ/AC3sC78+y8Oh/O56x1xSlmjsAfOV+/0yOc4Q=</latexit> Quantum master equation ����������� �������� ������������ ����������� • System (Dicke model) + external driving field ω a = ω ph = Ω • Rotating frame approximation • Dissipation term (Lindblad type) (transmission) (spontaneous emission)

  4. <latexit sha1_base64="OclWBzXjAXU4ijcVpcUvkF2sfMA=">ACLXicbVDLSgMxFM34rPVdekmWIS6KTMi2GVBF6kgn1Ap5ZMmrahmUlI7ohl6A+58VdEcFERt/6GmbZCbT0QOPece7m5J1CG3DdsbOyura+sZnZym7v7O7t5w4Oa0bGmrIqlULqRkAMEzxiVeAgWENpRsJAsHowuEr9+iPThsvoHoaKtULSi3iXUwJWaueufd2XBTjDPlFKyec1u3E1yFW/dHEkMBDZuYM3pIftXbtKedy7tFdwK8TLwZyaMZKu3cm9+RNA5ZBFQY5qeq6CVEA2cCjbK+rFhitAB6bGmpRGxq1rJ5NoRPrVKB3elti8CPFHnJxISGjMA9sZEuibRS8V/OaMXRLrYRHKgYW0emibiwSJxGhztcMwpiaAmhmtu/YtonmlCwAWdtCN7iycukdl703KJ3d5Evl2ZxZNAxOkEF5KFLVEY3qIKqiKJn9IrG6MN5cd6dT+dr2rizGaO0B843z+Pz6hK</latexit> <latexit sha1_base64="OclWBzXjAXU4ijcVpcUvkF2sfMA=">ACLXicbVDLSgMxFM34rPVdekmWIS6KTMi2GVBF6kgn1Ap5ZMmrahmUlI7ohl6A+58VdEcFERt/6GmbZCbT0QOPece7m5J1CG3DdsbOyura+sZnZym7v7O7t5w4Oa0bGmrIqlULqRkAMEzxiVeAgWENpRsJAsHowuEr9+iPThsvoHoaKtULSi3iXUwJWaueufd2XBTjDPlFKyec1u3E1yFW/dHEkMBDZuYM3pIftXbtKedy7tFdwK8TLwZyaMZKu3cm9+RNA5ZBFQY5qeq6CVEA2cCjbK+rFhitAB6bGmpRGxq1rJ5NoRPrVKB3elti8CPFHnJxISGjMA9sZEuibRS8V/OaMXRLrYRHKgYW0emibiwSJxGhztcMwpiaAmhmtu/YtonmlCwAWdtCN7iycukdl703KJ3d5Evl2ZxZNAxOkEF5KFLVEY3qIKqiKJn9IrG6MN5cd6dT+dr2rizGaO0B843z+Pz6hK</latexit> <latexit sha1_base64="OclWBzXjAXU4ijcVpcUvkF2sfMA=">ACLXicbVDLSgMxFM34rPVdekmWIS6KTMi2GVBF6kgn1Ap5ZMmrahmUlI7ohl6A+58VdEcFERt/6GmbZCbT0QOPece7m5J1CG3DdsbOyura+sZnZym7v7O7t5w4Oa0bGmrIqlULqRkAMEzxiVeAgWENpRsJAsHowuEr9+iPThsvoHoaKtULSi3iXUwJWaueufd2XBTjDPlFKyec1u3E1yFW/dHEkMBDZuYM3pIftXbtKedy7tFdwK8TLwZyaMZKu3cm9+RNA5ZBFQY5qeq6CVEA2cCjbK+rFhitAB6bGmpRGxq1rJ5NoRPrVKB3elti8CPFHnJxISGjMA9sZEuibRS8V/OaMXRLrYRHKgYW0emibiwSJxGhztcMwpiaAmhmtu/YtonmlCwAWdtCN7iycukdl703KJ3d5Evl2ZxZNAxOkEF5KFLVEY3qIKqiKJn9IrG6MN5cd6dT+dr2rizGaO0B843z+Pz6hK</latexit> <latexit sha1_base64="OclWBzXjAXU4ijcVpcUvkF2sfMA=">ACLXicbVDLSgMxFM34rPVdekmWIS6KTMi2GVBF6kgn1Ap5ZMmrahmUlI7ohl6A+58VdEcFERt/6GmbZCbT0QOPece7m5J1CG3DdsbOyura+sZnZym7v7O7t5w4Oa0bGmrIqlULqRkAMEzxiVeAgWENpRsJAsHowuEr9+iPThsvoHoaKtULSi3iXUwJWaueufd2XBTjDPlFKyec1u3E1yFW/dHEkMBDZuYM3pIftXbtKedy7tFdwK8TLwZyaMZKu3cm9+RNA5ZBFQY5qeq6CVEA2cCjbK+rFhitAB6bGmpRGxq1rJ5NoRPrVKB3elti8CPFHnJxISGjMA9sZEuibRS8V/OaMXRLrYRHKgYW0emibiwSJxGhztcMwpiaAmhmtu/YtonmlCwAWdtCN7iycukdl703KJ3d5Evl2ZxZNAxOkEF5KFLVEY3qIKqiKJn9IrG6MN5cd6dT+dr2rizGaO0B843z+Pz6hK</latexit> Mean-field analysis • Ignoring correlation between spins ρ ( t ) ≈ ρ ph ( t ) ⊗ ρ ⊗ N ( t ) s • Equation of motion for ⇒ steady state solution • Rescaling variables: • Cavity cooperativity parameter: • MF treatment becomes exact in the thermodynamic limit Bonifacio, Lugiato (1978), Mori (2013)

Recommend


More recommend