ON THE ENTANGLED STATE REPRESENTATION, EXCITATION REPRESENTATION AND EFFECTIVE NUMBER-PHASE STATE REPRESENTATIONS IN RINDLER SPACE

We analyze the Unruh effect from the point of view of quantum entanglement. We introduce the entangled state representation in Rindler space and show that the Minkowski vacuum state is an entangled state in Rindler space. The corresponding squeezing operator, which is related to the acceleration of the detector, is obtained naturally. The excitation representation and number state–phase state representations are also introduced in Rindler space. The number-phase commutative relation is established.

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OPERATOR-SUM REPRESENTATION OF DENSITY OPERATORS AS SOLUTIONS TO MASTER EQUATIONS OBTAINED VIA THE ENTANGLED STATE APPROACH

Modern Physics Letters B ◽

10.1142/s0217984908017072 ◽

2008 ◽

Vol 22 (25) ◽

pp. 2435-2468 ◽

Cited By ~ 83

Author(s):

HONG-YI FAN ◽

LI-YUN HU

Keyword(s):

Point Of View ◽

Master Equations ◽

Entangled State ◽

Entangled State Representation ◽

State Representation ◽

Partial Trace ◽

New Approach ◽

Density Operators ◽

Phase Sensitive ◽

System Mode

We solve various master equations to obtain density operators' infinite operator-sum representation via a new approach, i.e., by virtue of the thermo-entangled state representation that has a fictitious mode as a counterpart mode of the system mode. The corresponding Kraus operators from the point of view of quantum channel are derived, whose normalization conditions are proved. Miscellaneous characters possessed by different quantum channels, such as decoherence, phase diffusion, damping, and amplification, can be shown explicitly in the entangled state representation of the density operators. Squeezing transformation is applied to the density operator for decoherence to generate a master equation for describing the phase sensitive process. Partial trace method for deriving new density operators is also introduced. Throughout our discussion, the technique of integration within an ordered product (IWOP) of operators is fully used.

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PHASE OPERATOR AND PHASE STATE IN THERMO FIELD DYNAMICS

Modern Physics Letters A ◽

10.1142/s0217732309028461 ◽

2009 ◽

Vol 24 (15) ◽

pp. 1219-1226 ◽

Cited By ~ 1

Author(s):

HONG-YI FAN ◽

NIAN-QUAN JIANG

Keyword(s):

Coherent States ◽

Phase State ◽

Entangled State ◽

Entangled State Representation ◽

Phase Operator ◽

State Representation ◽

Thermo Field Dynamics ◽

Limiting Case ◽

Thermo Entangled State Representation ◽

Thermo Entangled State

We extend the Susskind–Glogower phase operator and phase state in quantum optics to thermo field dynamics (TFD). Based on the thermo entangled state representation, we introduce thermo excitation and de-excitation operators with which the phase operator and phase state in TFD can be constructed. The phase state treated as a limiting case of a new SU(1, 1) coherent states is also exhibited.

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APPLICATION OF ENTANGLED STATE IN QUANTIZING SUPERCONDUCTING CAPACITOR MODEL IN THE PRESENCE OF A VOLTAGE BIAS AND A CURRENT BIAS

International Journal of Modern Physics B ◽

10.1142/s0217979204023878 ◽

2004 ◽

Vol 18 (02) ◽

pp. 233-240 ◽

Cited By ~ 11

Author(s):

HONG-YI FAN

Keyword(s):

Operator Theory ◽

Hamiltonian Operator ◽

Entangled State ◽

Entangled State Representation ◽

Phase Operator ◽

State Representation ◽

Voltage Bias ◽

A Current

Based on the entangled state representation and the appropriate bosonic phase operator we develop the superconducting capacitor model in the presence of a voltage bias and a current bias. In so doing, the full Hamiltonian operator theory for a superconducting barrier is established.

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