The effect of classical driving field on the spectrum of a qubit and entanglement swapping inside dissipative cavities
Pith reviewed 2026-05-25 12:14 UTC · model grok-4.3
The pith
A classical driving field prolongs entanglement swapped between two qubits in separate dissipative cavities.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The authors show that the classical driving field alters the spectrum and the qubit-radiation entanglement dynamics inside each dissipative cavity; a Bell-state measurement performed on the photons emitted from two separate driven systems then swaps the entanglement between the qubits, and this swapped entanglement decays more slowly when the driving field is present.
What carries the argument
The classical driving field applied to each qubit-cavity system, which reshapes the spontaneous emission and the qubit-photon entanglement so that a subsequent Bell measurement on the outgoing photons produces longer-lived swapped entanglement.
If this is right
- The driving field changes the shape of the qubit's spontaneous emission spectrum.
- The entanglement between each qubit and its radiative field evolves differently under the drive.
- Bell-state measurement on the two cavity outputs successfully transfers entanglement between the qubits.
- The lifetime of the transferred entanglement increases when the classical driving field is applied.
Where Pith is reading between the lines
- Varying the amplitude or frequency of the drive could reveal an optimal regime for maximum prolongation.
- The same driving technique might be tested in other loss mechanisms such as pure dephasing or photon loss inside the cavity mirrors.
- If the prolongation survives in the presence of additional noise sources, the method could be combined with error-correction protocols in cavity networks.
Load-bearing premise
The mathematical model of the driven qubit inside the dissipative cavity, together with the Bell-state measurement on the emitted photons, correctly describes the actual time evolution of the system.
What would settle it
An experiment that prepares two driven qubits in separate cavities, performs the photon Bell measurement, and records the decay rate of the resulting qubit-qubit entanglement fidelity with and without the driving field would directly test whether the prolongation occurs.
read the original abstract
In this paper, we study the effect of classical driving field on the spontaneous emission spectrum of a qubit embedded in a dissipative cavity. Furthermore, we monitor the entanglement dynamics of the driven qubit with its radiative decay under the action of the classical field. Afterwards, we carry out an investigation on the possibility of entanglement swapping between two such distinct driven qubits. The swapping will be feasible with the aid of a Bell state measurement performing on the photons leaving the cavities. It is demonstrated that the classical driving field has a beneficial effect on the prolonging of the swapped entanglement.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript investigates the effect of a classical driving field on the spontaneous emission spectrum of a qubit in a dissipative cavity, the entanglement dynamics between the driven qubit and its radiative decay, and the feasibility of entanglement swapping between two such systems. Swapping is realized by performing a Bell state measurement on the photons emitted from the cavities. The central claim is that the classical driving field has a beneficial effect in prolonging the swapped entanglement, as shown through numerical integration of the master equation.
Significance. If the numerical results hold, the work illustrates a controllable mechanism for mitigating dissipation effects on entanglement in driven cavity QED systems using standard methods. The approach relies on the driven Jaynes-Cummings Hamiltonian with Lindblad operators for cavity and qubit decay, followed by Bell-state projection, yielding reproducible prolongation of concurrence (or negativity) across plotted parameter regimes. This provides a concrete, falsifiable demonstration within an established theoretical framework.
minor comments (3)
- [Abstract] The abstract states the central claim but does not specify the entanglement measure (concurrence or negativity) or confirm that results are obtained from numerical solution of the master equation; adding one sentence would improve clarity for readers.
- Figure captions should explicitly list the values of the driving amplitude Ω used in each panel to facilitate direct comparison with the text discussion of the beneficial effect.
- Notation for the cavity decay rate κ and qubit spontaneous emission rate γ should be introduced once in the model section and used consistently thereafter.
Simulated Author's Rebuttal
We thank the referee for their positive assessment of our manuscript, including the summary of our results on the classical driving field's effect on the spontaneous emission spectrum, entanglement dynamics, and entanglement swapping via Bell-state measurement on emitted photons. We are pleased that the referee finds the numerical demonstration of prolonged concurrence under the driven Jaynes-Cummings model with Lindblad decay to be a concrete and falsifiable contribution, and we appreciate the recommendation to accept.
Circularity Check
No significant circularity
full rationale
The manuscript starts from the standard driven Jaynes-Cummings Hamiltonian plus Lindblad operators for cavity and qubit decay, solves the master equation numerically, and obtains concurrence or negativity by direct computation. Entanglement swapping is realized by an explicit Bell-state projection on the outgoing photonic modes. All reported prolongation effects under nonzero driving amplitude are outputs of these integrations across parameter regimes; no parameter is fitted to the target quantity, no self-citation supplies a uniqueness theorem or ansatz that the central result reduces to, and the model rests on externally standard quantum-optics ingredients rather than internal redefinition. The derivation is therefore self-contained.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption The qubit-cavity system is described by a standard master equation incorporating dissipation and classical driving.
Reference graph
Works this paper leans on
-
[1]
Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleport- ing an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895 (1993)
work page 1993
-
[2]
World Scientific, Singapore (2005)
Benenti, G., Casati, G., Strini, G.: Principle of Quantum Computation and Information. World Scientific, Singapore (2005)
work page 2005
-
[3]
Ekert, A.: Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 67, 661 (1991)
work page 1991
-
[4]
Cirac, J.I., Gisin, N.: Coherent eavesdropping strategies for the four state quantum cryp- tography protocol. Phys. Lett. A 229, 1 (1997)
work page 1997
-
[5]
Bennett, C.H., Wiesner, S.J.: Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. Phys. Rev. Lett. 69, 2881 (1992)
work page 1992
-
[6]
Raimond, J.M., Brune, M., Haroche, S.: Manipulating quantum entanglement with atoms and photons in a cavity. Rev. Mod. Phys. 73, 565 (2001)
work page 2001
- [7]
-
[8]
Pachos, J., Walther, H.: Quantum computation with trapped ions in an optical cavity. Phys. Rev. Lett. 89, 187903 (2002)
work page 2002
-
[9]
Cirac, J., Zoller, P.: Quantum computations with cold trapped ions. Phys. Rev. Lett. 74, 4091 (1995)
work page 1995
-
[10]
Monroe, C., Meekhof, D.M., King, B.E., Itano, W.M., Wineland, D.J.: Demonstration of a fundamental quantum logic gate. Phys. Rev. Lett. 75, 4714 (1995)
work page 1995
-
[11]
Nature (London) 404, 256 (2000)
Sackett, C.A., et al.: Experimental entanglement of four particles. Nature (London) 404, 256 (2000)
work page 2000
-
[12]
Yang,C.P., Chu, S.I., Han, S.: Possible realization of entanglement, logical gates, and quantum-information transfer with superconducting-quantum-interference-device qubits in cavity QED. Phys. Rev. A 67, 042311 (2003) The effect of classical driving field on the spectrum ... 15
work page 2003
-
[13]
Yang, C.P., Chu, S.I., Han, S.: Quantum information transfer and entanglement with SQUID qubits in cavity QED: a dark-state scheme with tolerance for nonuniform device parameter. Phys. Rev. Lett. 92, 117902 (2004)
work page 2004
-
[14]
˙Zukowski, M., Zeilinger, A., Horne, M.A., Ekert, A.K.: “Event-ready-detectors” Bell experiment via entanglement swapping. Phys. Rev. Lett. 71, 4287 (1993)
work page 1993
-
[15]
Polkinghorne, R.E.S., Ralph, T.C.: Continuous variable entanglement swapping. Phys. Rev. Lett. 83, 2095 (1999)
work page 2095
-
[16]
Jia, X., Su, X., Pan, Q., Gao, J., Xie, C., Peng, K.: Experimental demonstration of un- conditional entanglement swapping for continuous variables. Phys. Rev. Lett. 93, 250503 (2004)
work page 2004
-
[17]
Hu, C.Y., Rarity, J.G.: Loss-resistant state teleportation and entanglement swapping using a quantum-dot spin in an optical microcavity. Phys. Rev. B 83, 115303 (2011)
work page 2011
-
[18]
Liao, Q.H., Fang, G.Y., Wang, Y.Y., Ahmad, M.A., Liu, S.: Entanglement swapping in two independent Jaynes-Cummings models. Eur. Phys. J. D 61, 475 (2011)
work page 2011
-
[19]
Ghasemi, M., Tavassoly, M.K., Nourmandipour, A.: Dissipative entanglement swapping in the presence of detuning and Kerr medium: Bell state measurement method. Eur. Phys. J. 132, 531 (2017)
work page 2017
-
[20]
Nourmandipour, A., Tavassoly, M.K.: Entanglement swapping between dissipative sys- tems. Phys. Rev. A 94, 022339 (2016)
work page 2016
-
[21]
Yu, T., Eberly, J.H.: Qubit disentanglement and decoherence via dephasing. Phys. Rev. B 68(16), 165322 (2003)
work page 2003
-
[22]
Yu, T., Eberly, J.H.: Finite-time disentanglement via spontaneous emission. Phys. Rev. Lett. 93(14), 140404 (2004)
work page 2004
-
[23]
Santos, M.F., Milman, P., Davidovich, L., Zagury, N.: Direct measurement of finite-time disentanglement induced by a reservoir. Phys. Rev. B 73(4), 040305 (2006)
work page 2006
-
[24]
Ch.: Robust entanglement preserving by detuning in non-Markovian regime
Xiao, X., Fang, M.F., Li, Y.L., Zeng, K., Wu. Ch.: Robust entanglement preserving by detuning in non-Markovian regime. J. Phys. B: At. Mol. Opt. Phys. 42, 235502 (2009)
work page 2009
-
[25]
Maniscalco, S., Francica, F., Zaffino, R.L., Gullo, N.L., Plastina, F.: Protecting entan- glement via the quantum Zeno effect. Phys. Rev. Lett. 100, 090503 (2008)
work page 2008
-
[26]
Das, S., Agarwal, G.S.: Protecting bipartite entanglement by quantum interferences. Phys. Rev. A 81, 052341 (2010)
work page 2010
-
[27]
Nourmandipour, A., Tavassoly, M.K.: Dynamics and protecting of entanglement in two- level systems interacting with a dissipative cavity: the GardinerCollett approach. J. Phys. B: At. Mole. Opt. Phys. 48, 165502 (2015)
work page 2015
-
[28]
Nourmandipour, A., Tavassoly, M.K.: A novel approach to entanglement dynamics of two two-level atoms interacting with dissipative cavities. Eur. Phys. J. Plus 130, 148 (2015)
work page 2015
-
[29]
Yang, Y., Xu, J., Chen, H., Zhu, S.Y.: Long-lived entanglement between two distant atoms via left-handed materials. Phys. Rev. A 82, 030304 (2010)
work page 2010
-
[30]
Mukhtar, M., Soh, W.T., Saw, T.B., Gong, J.: Protecting unknown two-qubit entangled states by nesting Uhrigs dynamical decoupling sequences. Phys. Rev. A 82, 052338 (2010)
work page 2010
-
[31]
Kim, Y.S., Lee, J.C., Kwon, O., Kim, Y.H.: Observation of coherent many-body Rabi oscillations - SAO/NASA ADS. Nat. Phys. 8 790, (2012)
work page 2012
-
[32]
Korotkov, A.N., Keane, K.: Decoherence suppression by quantum measurement reversal. Phys. Rev. A 81, 040103 (2010)
work page 2010
-
[33]
Q., Al-Amri, M., Luiz, D., Suhail, Z.M.: Reversing entanglement change by a weak measurement
Sun. Q., Al-Amri, M., Luiz, D., Suhail, Z.M.: Reversing entanglement change by a weak measurement. Phys. Rev. A 82, 052323 (2010)
work page 2010
-
[34]
Kim, Y.S., Lee, J.C., Kwon, O., Kim, Y.H.: Protecting entanglement from decoherence using weak measurement and quantum measurement reversal. Nat. Phys. 8, 117 (2011)
work page 2011
-
[35]
Chaudhry, A.Z., Gong, J.: Decoherence control: universal protection of two-qubit states and two-qubit gates using continuous driving fields. Phys. Rev. A 85, 012315 (2012)
work page 2012
-
[36]
Nourmandipour, A., Tavassoly, M.K., Bolorizadeh, M.A.: Quantum Zeno and anti-Zeno effects on the entanglement dynamics of qubits dissipating into a common and non- Markovian environment. J. Opt. Soc. Am. B 33, 1723 (2016)
work page 2016
-
[37]
Rafiee, M., Nourmandipour, A., Mancini, S.: Universal feedback control of two-qubit entanglement. Phys. Rev. A 94, 012310 (2016)
work page 2016
-
[38]
Rafiee, M., Nourmandipour, A., Mancini, S.: Optimal feedback control of two-qubit entanglement in dissipative environments. Phys. Rev. A 96, 012340 (2017) 16 Ali Mortezapour et al
work page 2017
-
[39]
Xu, J.S., Sun, K., Li, C.F., Xu, X.Y., Guo, G.C., Andersson, E., Franco L.R., Compagno, G.: Experimental recovery of quantum correlations in absence of system-environment back- action. Nat. Commun. 4 2851 (2013)
work page 2013
-
[40]
DArrigo, A., Lo Franco, R., Benenti, G., Paladin, E., Falci, G.: Recovering entanglement by local operations. Ann. Physics 350, 211224 (2014)
work page 2014
-
[41]
Wang, S.C., Yu, Z.W., Zou, W.J., Wang, X.B.: Protecting quantum states from deco- herence of finite temperature using weak measurement. Phys. Rev. A 89, 022318 (2014)
work page 2014
-
[42]
Lo Franco, R., DArrigo, A., Falci, G., Compagno, G., Paladino, E.: Preserving entan- glement and nonlocality in solid-state qubits by dynamical decoupling. Phys. Rev. B 90, 054304 (2014)
work page 2014
-
[43]
Leggio, B., Lo Franco, R., Soares-Pinto, D.O., Horodecki, P., Compagno, G.: Distributed correlations and information flows within a hybrid multipartite quantum-classical system. Phys. Rev. A 92, 032311 (2015)
work page 2015
-
[44]
Man, Z.X., Xia, Y.J., Lo Franco, R.: Cavity-based architecture to preserve quantum coherence and entanglement. Sci. Rep. 5, 13843 (2015)
work page 2015
-
[45]
Liu, X., Tian, Z., Wang, J., Jing, J.: Inhibiting decoherence of two-level atom in thermal bath by presence of boundaries. Quantum Inf. Process. 15, 3677 (2016)
work page 2016
-
[46]
Nourmandipour, A., Tavassoly, M.K., Rafiee, M.: Dynamics and protection of entangle- ment in n -qubit systems within Markovian and non-Markovian environments. Phys. Rev. A 93, 022327 (2016)
work page 2016
-
[47]
Iliopoulos, N., Terzis, A.F., Yannopapas, V., Paspalakis, E.: Prolonging entanglement dynamics near periodic plasmonic nanostructures. Phys. Rev. B 96, 075405 (2017)
work page 2017
-
[48]
Mortezapour, A., Borji, M.A., Lo Franco, R.: Protecting entanglement by adjusting the velocities of moving qubits inside non-Markovian environments. Laser Phys. Lett. 14, 055201 (2017)
work page 2017
-
[49]
Mortezapour, A., Naeimi, G., Lo Franco, R.: Coherence and entanglement dynamics of vibrating qubits. Opt. Comm. 424, 26 (2018)
work page 2018
-
[50]
Mortezapour, A., Lo Franco, R.: Protecting quantum resources via frequency modula- tion of qubits in leaky cavities. Sci. Rep. 8, 14304 (2018)
work page 2018
-
[51]
Wang, Y.Y., Fang, M.F.: Enhancing and protecting quantum correlations of a two-qubit entangled system via non-Hermitian operation. Quantum Inf. Process. 17, 208 (2018)
work page 2018
-
[52]
Xiao, X., Fang, M.F., Li, Y.L.: Non-Markovian dynamics of two qubits driven by clas- sical fields: population trapping and entanglement preservation. J. Phys. B: At. Mol. Opt. Phys. 43, 185505 (2010)
work page 2010
-
[53]
Haikka, P., Maniscalco, S.: Non-Markovian dynamics of a damped driven two-state system. Phys. Rev. A 81, 052103 (2010)
work page 2010
-
[54]
Zhang, Y.J., Han, W., Xia, Y.J., Cao, J.P., Fan, H.: Classical-driving-assisted quantum speed-up. Phys. Rev. A 91, 032112 (2015)
work page 2015
-
[55]
Gholipour, H., Mortezapour, A., Nosrati, F., Franco, R.L.: Quantumness and memory of an open qubit under classical control. arXiv: 1904.00903 (2019)
-
[56]
Li, Y.L., Xiao, X., Yao, Y.: Classical-driving-enhanced parameter-estimation precision of a non-Markovian dissipative two-state system. Phys. Rev. A 91, 052105 (2015)
work page 2015
-
[57]
Ren, Y.K., Tang, L.M., Zeng, H.S.: Protection of quantum Fisher information in entan- gled states via classical driving. Quantum Inf. Process. 15, 5011 (2016)
work page 2016
-
[58]
Huang, Z., Situ, H.: Non-Markovian dynamics of quantum coherence of two-level system driven by classical field. Quantum Inf. Process. 16, 222 (2017)
work page 2017
-
[59]
Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)
work page 1998
-
[60]
Zanardi, P., Zalka, C., Faoro, L.: Entangling power of quantum evolutions. Phys. Rev. A 62, 030301 (2000)
work page 2000
-
[61]
Oxford Univer- sity Press on Demand (2002)
Breuer, H.P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford Univer- sity Press on Demand (2002)
work page 2002
-
[62]
Zhu, S.Y., Chan, R.C.F., Lee, C.P.: Spontaneous emission from a three-level atom. Phys. Rev. A 52, 710 (1995)
work page 1995
-
[63]
Mortezapour, A., Abedi, M., Mahmoudi, M., Khajehpour, M.R.H.: The effect of a cou- pling field on the entanglement dynamics of a three-level atom. J. Phys. B: At. Mol. Opt. Phys. 44, 085501 (2011) The effect of classical driving field on the spectrum ... 17
work page 2011
-
[64]
Abazari, M., Mortezapour, A., Mahmoudi, M., Sahrai, M.: Phase-controlled atom- photon entanglement in a three-level V-type atomic system via spontaneously generated coherence. Entropy 13, 1541 (2011)
work page 2011
-
[65]
Mortezapour, A., Kordi,Z., Mahmoudi, M.: Phase-controlled atomphoton entanglement in a three-level Λ−type closed-loop atomic system. Chin. Phys. B 22, 060310 (2013)
work page 2013
-
[66]
Kordi, Z., Ghanbari, S., Mahmoudi, M.: Atomphoton entanglement beyond the multi- photon resonance condition. Quantum Inf. Process. 15(1), 199 (2015)
work page 2015
-
[67]
Kordi, Z., Ghanbari, S., Mahmoudi, M.: Maximal atomphoton entanglement in a double- Lambda quantum system. Quantum Inf. Process. 14(6), 1907 (2015)
work page 1907
-
[68]
Araki, H., Lieb, E.: Entropy inequalities. Commun. Math. Phys. 18, 160 (1970)
work page 1970
-
[69]
Phoenix, S.J.D., Knight, P.L.: Establishment of an entangled atom-field state in the Jaynes-Cummings model. Phys. Rev. A 44, 6023 (1991)
work page 1991
-
[70]
Phoenix, S.J.D., Knight,P.L.: Comment on Collapse and revival of the state vector in the Jaynes-Cummings model: An example of state preparation by a quantum apparatus. Phys. Rev. Lett. 66, 2833 (1991)
work page 1991
-
[71]
Lee, S.-W., Jeong, H.: Bell-state measurement and quantum teleportation using linear optics: two-photon pairs, entangled coherent states, and hybrid entanglement. arXiv:1304.1214 (2013)
work page internal anchor Pith review Pith/arXiv arXiv 2013
-
[72]
Nourmandipour, A., Tavassoly, M.K., Mancini, S.: The entangling power of a “glocal” dissipative map. Quantum Inf. Comput. 16, 0969 (2016)
work page 2016
-
[73]
I., Zoller, P.: Quantum repeaters: The role of imperfect local operations in quantum communication
Briegel, H.-J., D¨ ur, W., Cirac, J. I., Zoller, P.: Quantum repeaters: The role of imperfect local operations in quantum communication. Phys. Rev. Lett. 81, 5932 (1998)
work page 1998
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.