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71.
Characterizing localization properties of two spinless electrons in a one-dimensional Harper model with concurrence 下载免费PDF全文
By mapping the Fock space of many local fermionic modes isomorphically onto a many-qubit space and using the measure of concurrence, this paper studies numerically the mode entanglement of two spinless electrons with on-site interaction U moving in the one-dimensional Harper model. Generally speaking, for electrons in extended regimes (potential parameter λ 〈 2), the spectrum-averaged concurrence N(C) first decreases slowly as A increases until its local minimum, then increases with λ until its peak at λ = 2, while for electrons in localized regimes (λ 〉 2), N(C) decreases drastically as λ increases. The functions of N(C) versus λ are different for electrons in extended and localized regimes. The maximum of N(C) occurs at the point λ= 2, which is the critical value in the one-dimensional singleparticle Harper model. From these studies it can distinguish extended, localized and critical regimes for the two-particle system. It is also found for the same λ that the interaction U always induce the decreases of concurrence, i.e., the concurrence can reflect the localization effect due to the interaction. All these provide us a new quantity to understand the localization properties of eigenstates of two interacting particles. 相似文献
72.
The entanglement in one-dimensional random XY spin systems where the impurities of exchange couplings and the external magnetic fields are considered as random variables is investigated by solving the different spin-spin correlation functions and the average magnetization per spin. The entanglement dynamics near particular locations of the system is also studied when the exchange couplings (or the external magnetic fields) satisfy three different distributions (the Gaussian distribution, double-Gaussian distribution, and bimodal distribution). We find that the entanglement can be controlled by varying the strength of external magnetic field and the distributions of impurities. Moreover, the entanglement of some nearest-neighbouring qubits can be increased for certain parameter values of the three different distributions. 相似文献
73.
Considering a two-level atom interacting with the competing two-mode field, this paper investigates the entanglement between the two-level atom and the two-mode field by using the quantum reduced entropy, and that between the two-mode field by using the quantum relative entropy of entanglement. It shows that the two kinds of entanglement are dependent on the relative coupling strength of atom-field and the atomic distribution, and exhibit the periodical evolution. The maximal atom-field entanglement state can be prepared via the appropriate selection of system parameters and interaction time. 相似文献
74.
The Raman-coupled interaction between an atom and a single mode of a cavity field is studied. For the cases in which a light field is initially in a coherent state and in a thermal state separately, we have derived the analytic expressions for the time evolutions of atomic population difference W, modulus B of the Bloch vector, and entropy E. We find that the time evolutions of these quantities are periodic with a period of π. The maxima of W and B appear at the scaled interaction time points τ- = kπ(k = 0, 1, 2,...). At these time points, E = 0, which shows that the atom and the field are not entangled. Between these time points, E ≠ 0, which means that the atom and the field are entangled. When the field is initially in a coherent state, near the maxima, the envelope of W is a Gaussian function with a variance of 1/(4n^-)(n^- is the mean number of photons). Under the envelope, W oscillates at a frequency of n^-/π. When the field is initially in a thermal state, near the maxima, W is a Lorentz function with a width of 1/n^-. 相似文献
75.
Entanglement and quantum phase transition in alternating XY spin chain with next-nearest neighbouring interactions 下载免费PDF全文
By using the method of density-matrix renormalization-group to solve the different spin spin correlation functions, the nearest-neighbouring entanglement (NNE) and the next-nearest-neighbouring entanglement (NNNE) of one-dimensional alternating Heisenberg XY spin chain are investigated in the presence of alternating the-nearestneighbouring interaction of exchange couplings, external magnetic fields and the next-nearest neighbouring interaction. For a dimerised ferromagnetic spin chain, the NNNE appears only above a critical dimerized interaction, meanwhile, the dimerized interaction a effects a quantum phase transition point and improves the NNNE to a large extent. We also study the effect of ferromagnetic or antiferromagnetic next-nearest neighbouring (NNN) interaction on the dynamics of NNE and NNNE. The ferromagnetic NNN interaction increases and shrinks the NNE below and above a critical frustrated interaction respectively, while the antiferromagnetic NNN interaction always reduces the NNE. The antiferromagnetic NNN interaction results in a large value of NNNE compared with the case where the NNN interaction is ferromagnetic. 相似文献
76.
By use of the exact diagonalization method, the quantum phase transition and entanglement in a 6-Li atom system are studied.
It is found that entanglement appears before the quantum phase transition and disappears after it in this exactly solvable
quantum system. The present results show that the von Neumann entropy, as a measure of entanglement, may reveal the quantum
phase transition in this model. 相似文献
77.
We study time dependence of various measures of entanglement (covariance entanglement coefficient, purity entanglement coefficient, normalized distance coefficient, entropy coefficients) between resonantly coupled modes of the electromagnetic field in ideal cavities with oscillating boundaries. Two types of cavities are considered — a three-dimensional cavity possessing eigenfrequencies 3 = 31, whose wall oscillates at the frequency w = 21, and a one-dimensional (Fabry–Perot) cavity with an equidistant spectrum n = n1 where the distance between perfect mirrors oscillates at the frequencies 1 and 21. The behavior of entanglement measures in these cases turns out to be completely different, although all three coefficients demonstrate qualitatively similar time dependences in each case (except some specific situations where the covariance entanglement coefficient based on traces of covariance submatrices seems to be essentially more sensitive to entanglement than other measures, which are based on determinants of covariance submatrices). Different initial states of the field, namely, vacuum, squeezed vacuum, thermal, Fock, and even/odd coherent states, are considered. 相似文献
78.
We propose a simple scheme to generate two-mode entangled coherent state in two separated cavities and realize the entanglement
reciprocation between the superconducting charge qubits and continuous-variable system. By measuring the state of charge qubits,
we find that the entanglement of two charge qubits, which are initially prepared in the maximally entangled state, can be
transferred to the two-cavity field, and at this time the two-cavity field is in the entangled coherent state. We also find
that the entanglement can be retrieved back to the two charge qubits after measuring the state of the two-cavity field.
相似文献
79.
Chang-yong?ChenEmail author Ke-lin?Gao 《International Journal of Theoretical Physics》2005,44(8):1177-1191
The physics realization of a ququadrit quantum computation with cooled trapped 138Ba+ ions in a Paul trap is investigated. The ground state level 62 S1/2(m = −1/2) and three metastable levels: 52 D3/2(m = −1/2), 52 D5/2(m = −1/2), and 52 D5/2(m = 1/2), of the fine-structure of the 138Ba+ ion, are used to store the quantum information of ququadrits. The use of coherent manipulation of populations in single ququadrit,
being a four-dimensional Hilbert space, produces a discrete Fourier transform and the manipulation of the first red band transitions
with the introduction of an ancillary quantum channel between two ququadrits generates a conditional phase gate. The combination
of the both above results in a universal two-ququadrit gate, called XOR(4) gate corresponding to the controlled-NOT gate operation in qubit systems. The implementation of quantum Fourier transform
for n ququadrits is performed by means of the conditional phase-shift gate. The feasibility of physical realization of ququadrit
quantum computation with cooled-trapped 138Ba+ ions is detailed analyzed and described, and the theoretical detection method of logical states is given. Higher entanglement
between ququadrits than qutrits or qubits and more security of ququadrit quantum cryptography than qutrit's or qutrit's will
lead to more extensive applications ququadrits in quantum information fields. In particular, it is pointed out that this scheme
should be the highest dimensional quantum computation in cooled-trapped ions, the entanglement between ququadrits should be
the highest dimensional entanglement in it, and the ququadrit quantum cryptography should be the most secure cryptography
protocol in it. 相似文献
80.
Karol?Horodecki Micha??HorodeckiEmail author Pawel?Horodecki Jonathan?Oppenheim 《Foundations of Physics》2005,35(12):2027-2040
There are aspects of privacy theory that are analogous to quantum theory. In particular one can define distillable key and
key cost in parallel to distillable entanglement and entanglement cost. We present here classical privacy theory as a particular
case of information theory with adversaries, where similar general laws hold as in entanglement theory. We place the result
of Renner and Wolf—that intrinsic information is lower bound for key cost—into this general formalism. Then we show that the
question of whether intrinsic information is equal to key cost is equivalent to the question of whether Alice and Bob can
create a distribution product with Eve using IM bits of secret key. We also propose a natural analogue of relative entropy of entanglement in privacy theory and show that
it is equal to the intrinsic information. We also provide a formula analogous to the entanglement of formation for classical
distributions.
It is our pleasure to dedicate this paper to Asher Peres on the occasion of his seventieth birthday. 相似文献